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NCERT Solutions · Class 12 Chemistry Biomolecules

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Exercises 10.1–10.10 (part 1 of 3)

  1. Exercise 10.1

    What are monosaccharides?

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    A monosaccharide is a carbohydrate that cannot be broken down any further — no acid, base, or enzyme can hydrolyse it into a smaller sugar, because it is already the simplest possible sugar unit.Carbohydrates as a class are defined operationally, by what hydrolysis does to them:
    A monosaccharide gives only itself back on hydrolysis — there is nothing simpler to split off.
    An oligosaccharide (e.g., sucrose) hydrolyses into a small, fixed number ($\displaystyle 2$–$\displaystyle 10$) of monosaccharide units.
    A polysaccharide (e.g., starch, cellulose) hydrolyses into a very large number of monosaccharide units.
    So a monosaccharide sits at the bottom of that ladder. Structurally, every monosaccharide fits one description:A monosaccharide is a polyhydroxy aldehyde or a polyhydroxy ketone — a single chain of carbon atoms carrying one carbonyl group (either an aldehyde, \(\displaystyle -\mathrm{CHO}\), or a ketone, \(\displaystyle \mathrm{C=O}\)) and two or more hydroxyl (\(\displaystyle -\mathrm{OH}\)) groups on the remaining carbons.This gives two ways of sub-classifying them, and real monosaccharides are named using both together:1. By the carbonyl group. If the carbonyl is an aldehyde (\(\displaystyle -\mathrm{CHO}\) at the end of the chain), the sugar is an aldose. If the carbonyl is a ketone (\(\displaystyle \mathrm{C=O}\) within the chain), it is a ketose. 2. By chain length. A $\displaystyle 3$-carbon sugar is a triose, $\displaystyle 4$-carbon a tetrose, $\displaystyle 5$-carbon a pentose, $\displaystyle 6$-carbon a hexose, and so on.Combining the two: glucose has an aldehyde group and six carbons, so it is an aldohexose; fructose has a ketone group and six carbons, so it is a ketohexose; ribose has an aldehyde group and five carbons, so it is an aldopentose.Writing the two most familiar examples as condensed formulas (naming every symbol as it appears):Glucose , molecular formula \(\displaystyle \mathrm{C_6H_{12}O_6} \), condensed structure\[\mathrm{CHO{-}CHOH{-}CHOH{-}CHOH{-}CHOH{-}CH_2OH} \]Here the leftmost \(\displaystyle \mathrm{CHO}\) is the aldehyde (carbonyl) carbon, the four middle \(\displaystyle \mathrm{CHOH}\) units are the hydroxyl-bearing carbons, and the terminal \(\displaystyle \mathrm{CH_2OH}\) is a primary alcohol carbon. One aldehyde group plus four hydroxyl groups on a six-carbon chain — an aldohexose.Fructose, also \(\displaystyle \mathrm{C_6H_{12}O_6} \), condensed structure\[\mathrm{CH_2OH{-}CHOH{-}CHOH{-}CHOH{-}CO{-}CH_2OH} \]Here the carbonyl (\(\displaystyle \mathrm{CO}\)) sits at carbon $\displaystyle 2$, flanked by carbons on both sides, so it is a ketone rather than an aldehyde — a ketohexose. Neither of these molecules loses a smaller carbohydrate fragment on hydrolysis: whatever conditions are applied, glucose and fructose come back unchanged, which is the defining test for a monosaccharide.About $\displaystyle 20$ monosaccharides occur naturally; besides glucose and fructose, common ones include ribose and $\displaystyle 2$-deoxyribose (both aldopentoses, and components of RNA and DNA respectively) and galactose (an aldohexose, obtained on hydrolysing lactose).Answer: A monosaccharide is a carbohydrate that cannot be hydrolysed further into a simpler sugar — a single polyhydroxy aldehyde (an aldose, e.g., glucose, \(\displaystyle \mathrm{C_6H_{12}O_6} \)) or polyhydroxy ketone (a ketose, e.g., fructose, \(\displaystyle \mathrm{C_6H_{12}O_6} \)) carrying one carbonyl group and two or more \(\displaystyle -\mathrm{OH}\) groups on a single carbon chain.
  2. Exercise 10.2

    What are reducing sugars?

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    A sugar is called "reducing" if it can hand its carbonyl group to another reagent and get itself oxidized in the process — which means it needs a free aldehyde (\(\displaystyle -\text{CHO}\)) or a free alpha-hydroxy ketone (\(\displaystyle -\text{CO}-\)) somewhere in the molecule that is not tied up in a bond.A reducing sugar is a carbohydrate that reduces Tollens' reagent (ammoniacal \(\displaystyle \text{AgNO}_3\), the complex ion \(\displaystyle [\text{Ag(NH}_3)_2]^+\)) to metallic silver, and reduces Fehling's solution (an alkaline \(\displaystyle \text{Cu}^{2+}\)-tartrate complex) to a brick-red precipitate of \(\displaystyle \text{Cu}_2\text{O}\). In both tests the sugar itself is oxidized — its carbonyl carbon is pushed up to a carboxylic acid — while the metal ion is reduced. Whether a given sugar can do this depends entirely on whether it has a free carbonyl (or the free anomeric \(\displaystyle -\text{OH}\) that can open up into one) left in the molecule.Why every monosaccharide qualifiesGlucose , \(\displaystyle \text{CH}_2\text{OH}-(\text{CHOH})_4-\text{CHO}\), is an aldohexose: it already carries a free aldehyde group at \(\displaystyle \mathrm{C_{1}}\) in its open-chain form, and in solution the cyclic hemiacetal form sits in equilibrium with this open aldehyde form through the free anomeric \(\displaystyle -\text{OH}\). That aldehyde is what Tollens' reagent oxidizes:\[\text{CH}_2\text{OH}-(\text{CHOH})_4-\text{CHO} + 2[\text{Ag(NH}_3)_2]^+ + 3\text{OH}^- \rightarrow \text{CH}_2\text{OH}-(\text{CHOH})_4-\text{COO}^- + 2\text{Ag}\downarrow + 4\text{NH}_3 + 2\text{H}_2\text{O} \]The aldehyde carbon of glucose is oxidized to a carboxylate (the product is gluconate, the anion of gluconic acid ), and the silver ion is reduced all the way to silver metal, which deposits as the "silver mirror" on the inside of the test tube. Fehling's solution runs the same oxidation on the aldehyde, with \(\displaystyle \text{Cu}^{2+}\) being reduced to \(\displaystyle \text{Cu}^{+}\), which precipitates as red \(\displaystyle \text{Cu}_2\text{O}\).Fructose, \(\displaystyle \text{CH}_2\text{OH}-(\text{CHOH})_3-\text{CO}-\text{CH}_2\text{OH}\), has no aldehyde at all — it is a ketohexose, with the carbonyl at C2. It still gives a positive Fehling's/Tollens' test, and this is the point people get wrong: under the alkaline conditions of these tests, the alpha-hydroxy ketone at C1–C2 tautomerizes through an enediol intermediate (base pulls a proton off the carbon next to the \(\displaystyle -\text{OH}\), the double bond shifts, and re-protonation can put the carbonyl back down at \(\displaystyle \mathrm{C_{1}}\) instead of C2) into an aldose structure, which is then oxidized exactly as glucose is. So the test does not tell you "aldose vs ketose" — it only tells you whether the sugar is reducing or not, and every monosaccharide, aldose or ketose, is reducing because each one has a free anomeric carbon that can open to expose a carbonyl.Why it stops being automatic for disaccharidesIn a disaccharide, two monosaccharide rings are joined by a glycosidic bond formed between an \(\displaystyle -\text{OH}\) on one ring's anomeric carbon and an \(\displaystyle -\text{OH}\) on the other ring. Whether the disaccharide is reducing depends on whether that bond uses up both anomeric carbons or leaves one free:
    Maltose (two glucose units joined \(\displaystyle \alpha\)-$\displaystyle 1,4$) uses the anomeric carbon \(\displaystyle \mathrm{(C_{1})}\) of only one glucose unit to make the glycosidic bond. The second glucose unit's anomeric carbon (its own C1) is left free, still able to open into a free aldehyde in solution. So maltose reduces Tollens'/Fehling's — it is a reducing sugar.
    Lactose (galactose joined to glucose, \(\displaystyle \beta\)-$\displaystyle 1,4$) is built the same way: the glycosidic bond uses galactose's anomeric carbon, but glucose's anomeric carbon \(\displaystyle \mathrm{(C_{1})}\) is left free. Lactose is also a reducing sugar.
    Sucrose is different: the glycosidic bond in sucrose is formed between the anomeric carbon of glucose \(\displaystyle \mathrm{(C_{1})}\) and the anomeric carbon of fructose \(\displaystyle \mathrm{(C_{2})}\) — both ends of the bridge are anomeric carbons, so neither monosaccharide unit has a free anomeric carbon left. There is no \(\displaystyle -\text{OH}\) left that can open into a free aldehyde or free ketone, so sucrose cannot be oxidized by Tollens' reagent or Fehling's solution. Sucrose is the standard example of a non-reducing sugar.
    So the working rule is: look for a free anomeric carbon (a free hemiacetal/hemiketal \(\displaystyle -\text{OH}\), equivalent to a free \(\displaystyle -\text{CHO}\) or alpha-hydroxy \(\displaystyle -\text{CO}-\) in the open-chain form). If at least one exists, the sugar is reducing; if the glycosidic bond consumes every anomeric carbon in the molecule, it is non-reducing.**Answer: Reducing sugars are carbohydrates that reduce Tollens' reagent to metallic silver and Fehling's solution to red \(\displaystyle \text{Cu}_2\text{O}\), because they possess a free aldehyde group or a free (alpha-hydroxy) ketone group — i.e., a free anomeric carbon that can open into a carbonyl in solution. All monosaccharides (e.g., glucose, fructose) are reducing sugars, and among disaccharides those with at least one free anomeric carbon (e.g., maltose, lactose) are reducing, while sucrose, whose glycosidic bond ties up both monosaccharide units' anomeric carbons, is a non-reducing sugar.
  3. Exercise 10.3

    Write two main functions of carbohydrates in plants.

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    Carbohydrates in a plant are not fuel and scaffold in the abstract — two specific molecules do those two specific jobs: starch stores energy, cellulose builds structure.A plant does not use one carbohydrate for everything. It builds two different polymers, both made of the same glucose unit, \(\displaystyle \text{C}_6\text{H}_{12}\text{O}_6 \), but linked differently — and that difference in linkage is what separates a stored fuel from a structural material.Function $\displaystyle 1$ — Storage of energy (as starch). Plants make glucose by photosynthesis faster than they can use it immediately, so the surplus is stored as starch, a polymer of \(\displaystyle \alpha \)-D-glucose units joined by \(\displaystyle \alpha\text{-1,4-glycosidic} \) linkages (with \(\displaystyle \alpha\text{-1,6} \) branch points in the amylopectin fraction). Starch is laid down in seeds, tubers, and roots — the grain in a wheat seed or the tuber of a potato is starch reserve. Because the glycosidic bond is \(\displaystyle \alpha \), the chain coils into a helical shape that packs compactly and is easily hydrolysed back to glucose by amylase enzymes when the plant needs energy — for germination of a seed, for instance. This is the carbohydrate reserve function.Function $\displaystyle 2$ — Structural support (as cellulose). Cellulose is also a polymer of glucose, but the units are \(\displaystyle \beta \)-D-glucose joined by \(\displaystyle \beta\text{-1,4-glycosidic} \) linkages. This single change from \(\displaystyle \alpha \) to \(\displaystyle \beta \) linkage changes the shape of the polymer from a coil to a long, straight, unbranched chain. These straight chains lie side by side and hydrogen-bond extensively to one another, bundling into rigid fibres. Cellulose is the chief constituent of the cell wall in plants, giving the cell — and hence the whole plant — its mechanical strength and rigidity. It is this framework that lets a plant stand upright without a skeleton.The reason one plant polysaccharide can be food reserve and the other can be a building material, even though both hydrolyse to the same glucose, is the stereochemistry of the glycosidic bond (\(\displaystyle \alpha \) vs \(\displaystyle \beta \)): \(\displaystyle \alpha \)-links give a compact, digestible coil (starch, for storage); \(\displaystyle \beta \)-links give a rigid, mechanically strong fibre (cellulose, for structure).Answer: The two main functions of carbohydrates in plants are ($\displaystyle 1$) storage of food/energy reserves, in the form of starch, and ($\displaystyle 2$) providing structural support to the cell wall, in the form of cellulose.
  4. Exercise 10.4

    Classify the following into monosaccharides and disaccharides. Ribose, $\displaystyle 2$-deoxyribose, maltose, galactose, fructose and lactose.

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    A carbohydrate is a monosaccharide only if it cannot be split into anything simpler by acid hydrolysis — a disaccharide, by contrast, breaks into exactly two monosaccharide units joined by a glycosidic linkage. So the way to classify each of the six names is to ask: on hydrolysis, does this molecule split into two smaller sugar units, or is it already the simplest unit?Going through each one:Ribose — an aldopentose, molecular formula \(\displaystyle \text{C}_5\text{H}_{10}\text{O}_5 \), with the open-chain structure \(\displaystyle \text{CHO-CHOH-CHOH-CHOH-CH}_2\text{OH} \). It has a single ring/chain of five carbons with an aldehyde at \(\displaystyle \mathrm{C_{1}}\) and a hydroxyl on every other carbon. There is no glycosidic bond joining two smaller units, so it cannot be hydrolysed further. → monosaccharide.$\displaystyle 2$-Deoxyribose — also an aldopentose, formula \(\displaystyle \text{C}_5\text{H}_{10}\text{O}_4 \), structure \(\displaystyle \text{CHO-CH}_2\text{-CHOH-CHOH-CH}_2\text{OH} \). It is ribose with the oxygen at \(\displaystyle \mathrm{C_{2}}\) removed (hence "deoxy"), which is why it has one oxygen fewer than ribose. It is still a single five-carbon sugar unit, not a combination of two. → monosaccharide.Galactose — an aldohexose, formula \(\displaystyle \text{C}_6\text{H}_{12}\text{O}_6 \), structure \(\displaystyle \text{CHO-CHOH-CHOH-CHOH-CHOH-CH}_2\text{OH} \) (an epimer of glucose, differing only in the configuration at C4). One six-carbon chain, no glycosidic linkage to hydrolyse. → monosaccharide.Fructose — a ketohexose, formula \(\displaystyle \text{C}_6\text{H}_{12}\text{O}_6 \), structure \(\displaystyle \text{CH}_2\text{OH-CO-CHOH-CHOH-CHOH-CH}_2\text{OH} \), carrying a ketone at \(\displaystyle \mathrm{C_{2}}\) instead of an aldehyde at C1. Again a single six-carbon unit. → monosaccharide.Maltose — formula \(\displaystyle \text{C}_{12}\text{H}_{22}\text{O}_{11} \). On acid or enzymatic (maltase) hydrolysis it splits into two molecules of glucose, joined originally through an \(\displaystyle \alpha \)-$\displaystyle 1,4$-glycosidic linkage between \(\displaystyle \mathrm{C_{1}}\) of one glucose unit and \(\displaystyle \mathrm{C_{4}}\) of the other: \[\text{maltose} + \text{H}_2\text{O} \rightarrow \text{glucose} + \text{glucose} \] Because hydrolysis gives two monosaccharide units, not one, this is the defining test for a disaccharide. → disaccharide (glucose + glucose).Lactose — also \(\displaystyle \text{C}_{12}\text{H}_{22}\text{O}_{11} \), the sugar of milk. On hydrolysis (lactase) it splits into one molecule of galactose and one of glucose, joined by a \(\displaystyle \beta \)-$\displaystyle 1,4$-glycosidic linkage: \[\text{lactose} + \text{H}_2\text{O} \rightarrow \text{galactose} + \text{glucose} \] Two monosaccharide units come out, so this too is a disaccharide — note it is the one case here where the two units are different sugars (galactose and glucose), unlike maltose where both units are glucose. → disaccharide (galactose + glucose).Collecting the results:Answer: Monosaccharides — ribose, $\displaystyle 2$-deoxyribose, galactose, fructose (each a single, non-hydrolysable $\displaystyle 5$- or $\displaystyle 6$-carbon sugar unit). Disaccharides — maltose (hydrolyses to glucose + glucose) and lactose (hydrolyses to galactose + glucose), each held together by a glycosidic linkage that acid or enzymatic hydrolysis breaks.
  5. Exercise 10.5

    What do you understand by the term glycosidic linkage?

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    A glycosidic linkage is the C–O–C bridge that joins the anomeric carbon of one sugar ring to a hydroxyl carbon of a second sugar (or other group), formed by kicking out one molecule of water — it is what stitches monosaccharides into disaccharides and polysaccharides.Start from the cyclic (Haworth) form of a monosaccharide. When an open-chain aldose or ketose closes into its ring, the carbonyl carbon — \(\displaystyle \mathrm{C_{1}}\) in an aldose such as glucose, \(\displaystyle \mathrm{C_{2}}\) in a ketose such as fructose — picks up an –OH from the ring oxygen and becomes a new stereocentre that carries both an –OH group and the ring –O– on the same carbon. This carbon is called the anomeric carbon, and because it still behaves like the carbonyl-derived –OH of a hemiacetal, that particular –OH is far more reactive than the other ring –OH groups.A hemiacetal –OH can react further with an alcohol to give a full acetal, and that is exactly what happens between two sugar molecules: the anomeric –OH of one monosaccharide condenses with an –OH group (often, but not always, on another anomeric carbon) of a second monosaccharide. One molecule of \(\displaystyle \text{H}_2\text{O}\) is eliminated, and in its place a new bond forms in which an oxygen atom bridges a carbon of the first sugar to a carbon of the second sugar:\[\text{Sugar}_1\text{–OH} + \text{HO–Sugar}_2 \longrightarrow \text{Sugar}_1\text{–O–Sugar}_2 + \text{H}_2\text{O} \]This C–O–C bridge, built from the anomeric carbon of at least one of the two sugars, is the glycosidic linkage. It is the sugar-chemistry counterpart of the peptide (amide) linkage between amino acids or the phosphodiester linkage between nucleotides — a condensation bond that links repeating units into a bigger molecule.Two worked examples fix the idea:Maltose is built from two units of \(\displaystyle \alpha\)-D-glucose. The anomeric carbon \(\displaystyle \mathrm{(C_{1})}\) of the first glucose unit condenses with the –OH on \(\displaystyle \mathrm{C_{4}}\) of the second glucose unit, releasing \(\displaystyle \text{H}_2\text{O}\) and leaving a C1–O–C4 bridge. Because the first ring's \(\displaystyle \mathrm{C_{1}}\) was in the \(\displaystyle \alpha\) configuration, this bond is named an \(\displaystyle \alpha\)-$\displaystyle 1,4$-glycosidic linkage, written \(\displaystyle \text{Glc}(\alpha1\rightarrow4)\text{Glc}\). The second glucose unit still has a free anomeric –OH, so maltose is a reducing sugar.Sucrose is built from \(\displaystyle \alpha\)-D-glucose and \(\displaystyle \beta\)-D-fructose, but here both partners contribute their anomeric carbons: \(\displaystyle \mathrm{C_{1}}\) of glucose bonds through oxygen to \(\displaystyle \mathrm{C_{2}}\) of fructose. Because both anomeric carbons are used up in the same linkage, there is no free hemiacetal –OH left anywhere in the molecule — this is why sucrose cannot reduce Fehling's or Tollens' reagent and is called a non-reducing sugar. This linkage is described as \(\displaystyle \alpha1\leftrightarrow\beta2\)-glycosidic (a "head-to-head" linkage, unlike maltose's "head-to-tail" one).The same bond, repeated thousands of times, is what builds polysaccharides: amylose (a component of starch) is a long chain of glucose units joined by \(\displaystyle \alpha\)-$\displaystyle 1,4$-glycosidic linkages, while cellulose is a long chain of glucose units joined instead by \(\displaystyle \beta\)-$\displaystyle 1,4$-glycosidic linkages — the change from \(\displaystyle \alpha\) to \(\displaystyle \beta\) at each glycosidic linkage is the entire chemical difference between a digestible starch and structural cellulose.**Answer: A glycosidic linkage is the oxygen bridge (–O–) that joins the anomeric carbon of one monosaccharide to a hydroxyl-bearing carbon of another monosaccharide, formed by loss of one water molecule; it is the bond that links sugar units together in disaccharides (e.g., the \(\displaystyle \alpha\)-$\displaystyle 1,4$-glycosidic linkage in maltose, the \(\displaystyle \alpha1\leftrightarrow\beta2\)-glycosidic linkage in sucrose) and, repeated many times over, in polysaccharides such as starch and cellulose.
  6. Exercise 10.6

    What is glycogen? How is it different from starch?

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    Glycogen is the glucose-storage polysaccharide of animals -- "animal starch" -- and it differs from plant starch in exactly one structural respect: it is far more heavily branched.What glycogen isGlycogen is a homopolysaccharide built entirely of \(\displaystyle \alpha \text{-D-glucose} \) units. It is the form in which animals (and fungi) store carbohydrate, deposited mainly in the liver and in skeletal muscle. Whenever blood glucose rises above what the cells need immediately, the excess is polymerised into glycogen; when glucose is needed later, glycogen is broken back down and the glucose is released into the blood. In this role it is the exact animal counterpart of starch in plants -- both are simply a compact, low-osmotic-pressure way to warehouse many glucose units under one molecule.Structurally, glycogen is a branched chain of glucose units:
    The main chains are held together by \(\displaystyle \alpha(1 \rightarrow 4) \) glycosidic linkages -- the bond runs from carbon-$\displaystyle 1$ of one glucose ring (in the alpha configuration) to the oxygen on carbon-$\displaystyle 4$ of the next.
    Branches are thrown off by \(\displaystyle \alpha(1 \rightarrow 6) \) glycosidic linkages -- carbon-$\displaystyle 1$ of the branch's first glucose bonds to the oxygen on carbon-$\displaystyle 6$ of a glucose in the main chain.
    These branch points occur very frequently, roughly every $\displaystyle 8$ to $\displaystyle 10$ glucose units along the chain.
    What starch is, for comparisonStarch is also a glucose homopolysaccharide, but it is not a single structure -- it is a mixture of two components:
    Amylose (about $\displaystyle 15$-$\displaystyle 20$% of starch): a long, unbranched chain of glucose units joined only by \(\displaystyle \alpha(1 \rightarrow 4) \) linkages. Because it is unbranched it coils into a helix and is the component that gives the blue colour with iodine.
    Amylopectin (about $\displaystyle 80$-$\displaystyle 85$% of starch): a branched chain, again \(\displaystyle \alpha(1 \rightarrow 4) \) linked along the main chains with \(\displaystyle \alpha(1 \rightarrow 6) \) linkages at the branch points -- the same two bond types as glycogen -- but the branch points here are much sparser, occurring only about every $\displaystyle 25$ to $\displaystyle 30$ glucose units.
    Naming the differenceBoth glycogen and amylopectin use identical chemistry -- glucose units, \(\displaystyle \alpha(1 \rightarrow 4) \) main-chain bonds, \(\displaystyle \alpha(1 \rightarrow 6) \) branch bonds -- so the distinguishing feature is not the type of bond but how often the branch bond occurs, plus the fact that starch also contains an unbranched component that glycogen has no counterpart to:1. Occurrence: glycogen is found in animal cells (liver and muscle); starch is found in plant cells (seeds, tubers, roots). 2. Composition: starch is a two-part mixture, amylose (unbranched) plus amylopectin (branched); glycogen has only one component, and it is branched throughout. 3. Degree of branching: glycogen branches roughly every $\displaystyle 8$-$\displaystyle 10$ glucose units, making it markedly more branched than amylopectin, which branches only every $\displaystyle 25$-$\displaystyle 30$ units. This is the key structural distinction the question is asking for. 4. Consequence of the branching: the denser branching of glycogen exposes many more chain ends at once, so enzymes (glycogen phosphorylase) can release glucose from many points simultaneously -- appropriate for an animal's fast, on-demand energy release, whereas starch's sparser branching suits the slower mobilisation needs of a plant.Answer: Glycogen is the branched, glucose-only storage polysaccharide of animals (liver and muscle), built from glucose units joined by \(\displaystyle \alpha(1 \rightarrow 4) \) glycosidic bonds along the chains and \(\displaystyle \alpha(1 \rightarrow 6) \) glycosidic bonds at the branch points. It differs from starch in that starch is a mixture of unbranched amylose and branched amylopectin, whereas glycogen is entirely branched and, compared with amylopectin, far more densely so -- a branch point every $\displaystyle 8$-$\displaystyle 10$ glucose units in glycogen versus every $\displaystyle 25$-$\displaystyle 30$ units in amylopectin.
  7. Exercise 10.7

    What are the hydrolysis products of
    (i)
    sucrose and
    (ii)
    lactose?

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    Hydrolysis breaks the glycosidic bond that joins two monosaccharide units, and each disaccharide gives back the two simple sugars it was built from.
    (i)
    Sucrose
    Sucrose, \(\displaystyle \text{C}_{12}\text{H}_{22}\text{O}_{11} \), is built from one molecule of \(\displaystyle \alpha\)-D-glucose and one molecule of \(\displaystyle \beta\)-D-fructose. The glycosidic bond connects C-$\displaystyle 1$ of glucose to C-$\displaystyle 2$ of fructose — and both of these are the anomeric carbons of their respective sugars. Because both anomeric carbons are tied up in the linkage, sucrose has no free anomeric carbon and is a non-reducing sugar.
    On hydrolysis with dilute acid, or with the enzyme invertase, water adds across this glycosidic bond and the ring is opened at the linkage:
    \[\text{C}_{12}\text{H}_{22}\text{O}_{11} \ (\text{sucrose}) + \text{H}_2\text{O} \longrightarrow \text{C}_6\text{H}_{12}\text{O}_6 \ (\text{glucose}) + \text{C}_6\text{H}_{12}\text{O}_6 \ (\text{fructose}) \]
    So the two hydrolysis products are one molecule of glucose (an aldohexose, condensed formula \(\displaystyle \text{CH}_2\text{OH-(CHOH)}_4\text{-CHO} \)) and one molecule of fructose (a ketohexose, condensed formula \(\displaystyle \text{CH}_2\text{OH-(CHOH)}_3\text{-CO-CH}_2\text{OH} \)).
    A step people miss: sucrose itself is dextrorotatory, but the glucose + fructose mixture formed is laevorotatory, because fructose's laevorotation is large enough to override glucose's dextrorotation. This reversal of optical rotation on hydrolysis is exactly why the product mixture is called invert sugar, and why the enzyme is named invertase.
    (ii)
    Lactose
    Lactose, \(\displaystyle \text{C}_{12}\text{H}_{22}\text{O}_{11} \), is built from one molecule of \(\displaystyle \beta\)-D-galactose and one molecule of \(\displaystyle \beta\)-D-glucose, joined through a \(\displaystyle \beta\)-$\displaystyle 1,4$-glycosidic linkage: the anomeric carbon (C-$\displaystyle 1$) of galactose is bonded to C-$\displaystyle 4$ of glucose. Here the anomeric carbon of the glucose unit is left free, which is why lactose (unlike sucrose) is a reducing sugar.
    On hydrolysis with dilute acid, or with the enzyme lactase, the \(\displaystyle \beta\)-$\displaystyle 1,4$ linkage is cleaved:
    \[\text{C}_{12}\text{H}_{22}\text{O}_{11} \ (\text{lactose}) + \text{H}_2\text{O} \longrightarrow \text{C}_6\text{H}_{12}\text{O}_6 \ (\text{D-galactose}) + \text{C}_6\text{H}_{12}\text{O}_6 \ (\text{D-glucose}) \]
    So the two hydrolysis products are one molecule of D-galactose and one molecule of D-glucose , both aldohexoses with the condensed formula \(\displaystyle \text{CH}_2\text{OH-(CHOH)}_4\text{-CHO} \) (they differ only in the spatial arrangement of the –OH at C-$\displaystyle 4$).
    Answer: Sucrose hydrolyses to one molecule of glucose + one molecule of fructose (the resulting laevorotatory mixture is called invert sugar). Lactose hydrolyses to one molecule of glucose + one molecule of galactose.
  8. Exercise 10.8

    What is the basic structural difference between starch and cellulose?

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    The difference is not in the building block — both are made entirely of glucose — but in how the glucose units are hooked together: starch uses \(\displaystyle \alpha \)-glycosidic linkages and folds into a coiled, partly branched chain; cellulose uses only \(\displaystyle \beta \)-glycosidic linkages and stays a straight, unbranched chain.Both starch and cellulose are polysaccharides: long chains built by joining thousands of glucose (\(\displaystyle \mathrm{C_6H_{12}O_6} \)) units end to end through a glycosidic bond, which forms between the \(\displaystyle C_1 \)-\(\displaystyle OH \) of one glucose ring and the \(\displaystyle C_4 \)-\(\displaystyle OH \) of the next, with loss of a water molecule at each junction. Where the two polymers part ways is the stereochemistry of that \(\displaystyle C_1 \) carbon (the anomeric carbon) and whether the chain ever branches.Starch is built from \(\displaystyle \alpha \)-D-glucose, and it is not one single structure but a mixture of two components.
    Amylose (about $\displaystyle 15$–$\displaystyle 20$% of starch) is the unbranched part: a long chain of \(\displaystyle \alpha \)-D-glucose units joined only by \(\displaystyle \alpha \)-$\displaystyle 1,4$-glycosidic linkages (\(\displaystyle C_1 \) of one ring to \(\displaystyle C_4 \) of the next, with the \(\displaystyle C_1 \)-\(\displaystyle OH \) oriented below the plane of the ring, which is what "\(\displaystyle \alpha \)" means here). This \(\displaystyle \alpha \) linkage puts a slight kink between successive rings, so the chain does not lie flat — it curls into a helix.
    Amylopectin (about $\displaystyle 80$–$\displaystyle 85$% of starch) is the branched part: the backbone is joined the same way, by \(\displaystyle \alpha \)-$\displaystyle 1,4$-glycosidic linkages, but roughly every $\displaystyle 20$–$\displaystyle 25$ glucose units a side chain is attached through an \(\displaystyle \alpha \)-$\displaystyle 1,6$-glycosidic linkage (\(\displaystyle C_1 \) of one chain to \(\displaystyle C_6 \) of a glucose unit already in the backbone). That \(\displaystyle C_6 \) attachment is what creates the branch points, giving amylopectin a tree-like, branched shape.
    Cellulose is built from \(\displaystyle \beta \)-D-glucose, and it has only one kind of chain. The glucose units are joined exclusively by \(\displaystyle \beta \)-$\displaystyle 1,4$-glycosidic linkages — the same \(\displaystyle C_1 \)-to-\(\displaystyle C_4 \) connection as amylose, but now with the \(\displaystyle C_1 \)-\(\displaystyle OH \) oriented above the plane of the ring ("\(\displaystyle \beta \)"). This \(\displaystyle \beta \) linkage forces each glucose unit to sit rotated \(\displaystyle 180^\circ \) relative to its neighbor, which lets successive units line up flat instead of curling. The result is a straight, completely unbranched chain — there is no \(\displaystyle C_6 \) branching linkage anywhere in cellulose. Many such flat chains then pack side by side and are locked together by extensive hydrogen bonding between adjacent chains, which is why cellulose forms rigid, fibrous bundles (the structural material of plant cell walls) rather than the compact, coiled granules that starch forms.So the basic structural difference reduces to two points: ($\displaystyle 1$) the anomeric configuration of the glycosidic linkage — \(\displaystyle \alpha \) throughout starch versus \(\displaystyle \beta \) throughout cellulose — and ($\displaystyle 2$) branching — starch (via its amylopectin component) carries \(\displaystyle \alpha \)-$\displaystyle 1,6$ branch points, while cellulose is a single, linear, unbranched chain of glucose units held together only by \(\displaystyle \beta \)-$\displaystyle 1,4$ linkages. This is also why the two behave so differently in the body: digestive enzymes such as amylase can hydrolyze the \(\displaystyle \alpha \)-linkages in starch, so starch is a usable energy store, while human enzymes cannot cleave the \(\displaystyle \beta \)-linkages in cellulose, so cellulose passes through as dietary fibre instead.Answer: Starch and cellulose are both glucose polymers, but starch (amylose + amylopectin) is held together by \(\displaystyle \alpha \)-D-glucose linkages — \(\displaystyle \alpha \)-$\displaystyle 1,4$-glycosidic bonds in the chain and \(\displaystyle \alpha \)-$\displaystyle 1,6$-glycosidic bonds at branch points — giving a coiled, partly branched structure, whereas cellulose is held together only by \(\displaystyle \beta \)-$\displaystyle 1,4$-glycosidic bonds between \(\displaystyle \beta \)-D-glucose units, giving a straight, completely unbranched chain.
  9. Exercise 10.9

    What happens when D-glucose is treated with the following reagents?
    (i)
    HI
    (ii)
    Bromine water
    (iii)
    \(\displaystyle \mathrm{HNO_{3}}\)

    Not cross-checked

    This solution has not been cross-checked against the answer printed in NCERT.

    Bromine water only oxidises the aldehyde end of glucose, while dilute \(\displaystyle HNO_3\) oxidises both ends of the chain — and it is exactly this difference in how far each reagent reaches that tells you what groups sit at each end of the glucose molecule.Start from the open-chain structure of D-glucose , written out carbon by carbon:\[\text{CHO}-\text{CHOH}-\text{CHOH}-\text{CHOH}-\text{CHOH}-\text{CH}_2\text{OH} \]Here \(\displaystyle \mathrm{C_{1}}\) is an aldehyde carbon (\(\displaystyle -CHO\)), \(\displaystyle \mathrm{C_{2}}\) through \(\displaystyle \mathrm{C_{5}}\) each carry a secondary alcohol (\(\displaystyle -CHOH-\)), and \(\displaystyle \mathrm{C_{6}}\) is a primary alcohol carbon (\(\displaystyle -CH_2OH\)). The three reagents in this question are exactly the classical tests used to establish this structure — each one probes a different part of it.(i) HI (excess, prolonged heating)HI, used with red phosphorus on strong heating, is a powerful reducing agent. It removes every oxygen-bearing group in the chain: the \(\displaystyle -CHO\) at \(\displaystyle \mathrm{C_{1}}\) and every \(\displaystyle -OH\) at C2–C6 are each replaced by \(\displaystyle -H\) (the alcohols go \(\displaystyle -OH \to -I \to -H\); the aldehyde is reduced the same way after first becoming \(\displaystyle -CH_2OH\)). Because no carbon is left bonded to oxygen, and no new carbon–carbon bond is made or broken, the six carbons of glucose come out as a plain saturated hydrocarbon:\[\text{CH}_2\text{OH}-(\text{CHOH})_4-\text{CHO} \;\xrightarrow[\Delta]{\text{HI (excess)}}\; \text{CH}_3-\text{CH}_2-\text{CH}_2-\text{CH}_2-\text{CH}_2-\text{CH}_3 \]The product is n-hexane — the straight-chain, unbranched isomer of \(\displaystyle C_6H_{14}\), not $\displaystyle 2$-methylpentane or any other branched hexane. Since reduction cannot rearrange the carbon skeleton, the only way to get n-hexane out is for all six carbons of glucose to already have been joined in one continuous, unbranched chain before the reaction. This is the evidence that glucose has a straight-chain carbon skeleton.(ii) Bromine waterBromine water is a mild oxidising agent (it acts as a source of hypobromous acid, \(\displaystyle HOBr\)). Under these mild conditions it oxidises an aldehyde group to a carboxylic acid but leaves alcohol groups — primary or secondary — untouched, and it does not oxidise ketones at all. Applied to glucose, only the \(\displaystyle \mathrm{C_{1}}\) end reacts:\[\text{CH}_2\text{OH}-(\text{CHOH})_4-\text{CHO} \;\xrightarrow{Br_2/H_2O}\; \text{CH}_2\text{OH}-(\text{CHOH})_4-\text{COOH} \]The product is D-gluconic acid , a mono-carboxylic acid: only \(\displaystyle \mathrm{C_{1}}\) has changed, from \(\displaystyle -CHO\) to \(\displaystyle -COOH\); \(\displaystyle \mathrm{C_{6}}\) is still \(\displaystyle -CH_2OH\). That glucose is oxidised at all by this mild reagent is the key point — a ketone would not react with bromine water — so this reaction is the evidence that the carbonyl group in glucose is an aldehyde (\(\displaystyle -CHO\)) and not a ketone.(iii) Dilute \(\displaystyle HNO_3\)Dilute nitric acid is a stronger oxidising agent than bromine water, and it reaches both ends of the chain: the aldehyde \(\displaystyle -CHO\) at \(\displaystyle \mathrm{C_{1}}\) is oxidised to \(\displaystyle -COOH\) (as bromine water already showed happens), and in addition the primary alcohol \(\displaystyle -CH_2OH\) at \(\displaystyle \mathrm{C_{6}}\) is oxidised to \(\displaystyle -COOH\) as well. The four secondary \(\displaystyle -CHOH-\) groups at C2–C5 are, as before, left alone.\[\text{CH}_2\text{OH}-(\text{CHOH})_4-\text{CHO} \;\xrightarrow{HNO_3}\; \text{COOH}-(\text{CHOH})_4-\text{COOH} \]The product is saccharic acid (D-glucaric acid) , a dicarboxylic acid with both chain ends now \(\displaystyle -COOH\), still with six carbons total and no branching. Only a primary alcohol can be oxidised this far to a carboxylic acid (a secondary \(\displaystyle -CHOH-\) would at most be oxidised to a ketone, and the four middle carbons in fact show no such change here); a tertiary carbon could not be oxidised to \(\displaystyle -COOH\) at all. So the fact that \(\displaystyle \mathrm{C_{6}}\) converts cleanly to \(\displaystyle -COOH\) under this stronger oxidant is the evidence that \(\displaystyle \mathrm{C_{6}}\) in glucose carries a primary alcohol group, \(\displaystyle -CH_2OH\).Answer: (i) HI (prolonged heating) reduces D-glucose to n-hexane, \(\displaystyle CH_3(CH_2)_4CH_3\), showing the six carbons form a straight, unbranched chain. (ii) Bromine water oxidises only the \(\displaystyle -CHO\) at \(\displaystyle \mathrm{C_{1}}\) to give D-gluconic acid, \(\displaystyle CH_2OH(CHOH)_4COOH\), showing the carbonyl group in glucose is an aldehyde, not a ketone. (iii) Dilute \(\displaystyle HNO_3\) oxidises both the \(\displaystyle -CHO\) at \(\displaystyle \mathrm{C_{1}}\) and the \(\displaystyle -CH_2OH\) at \(\displaystyle \mathrm{C_{6}}\) to give saccharic (D-glucaric) acid, \(\displaystyle COOH(CHOH)_4COOH\), showing that \(\displaystyle \mathrm{C_{6}}\) carries a primary alcohol group.
  10. Exercise 10.10

    Enumerate the reactions of D-glucose which cannot be explained by its open chain structure.

    Not cross-checked

    This solution has not been cross-checked against the answer printed in NCERT.

    Three facts about D-glucose refuse to fit a plain, straight-chain aldehyde picture — they only make sense if the molecule closes itself into a ring.Write the open-chain structure of D-glucose first — — so the mismatch is visible:\[\text{C}_1\text{HO} - \text{C}_2\text{HOH} - \text{C}_3\text{HOH} - \text{C}_4\text{HOH} - \text{C}_5\text{HOH} - \text{C}_6\text{H}_2\text{OH} \]Here \(\displaystyle \mathrm{C_{1}}\) is drawn as a free aldehyde ( \(\displaystyle -\text{CHO}\) ), and C2–C5 each carry a secondary \(\displaystyle -\text{OH}\), with a primary \(\displaystyle -\text{OH}\) at C6. If this open-chain formula were the whole truth, glucose should behave, at every moment, exactly like any other aldehyde. It does not.Reaction $\displaystyle 1$ — Schiff's test fails. An aldehyde restores the pink/magenta colour of Schiff's reagent. D-glucose does not do this, even though it undergoes HCN addition (giving a cyanohydrin) and reacts with hydroxylamine, \(\displaystyle \text{NH}_2\text{OH}\), to give an oxime — both of which need a carbonyl carbon. So glucose behaves as if \(\displaystyle -\text{CHO}\) is present for some reagents and absent for others — a straight open chain cannot give two different answers to the same question.Reaction $\displaystyle 2$ — no bisulphite addition product. Aldehydes and methyl ketones add sodium hydrogensulphite, \(\displaystyle \text{NaHSO}_3\), across the carbonyl to give a crystalline addition compound. Glucose does not form this addition product. Again inconsistent with a permanently free \(\displaystyle -\text{CHO}\) at C1.Reaction $\displaystyle 3$ — the pentaacetate will not react with hydroxylamine. Acetic anhydride converts all five \(\displaystyle -\text{OH}\) groups of glucose into acetate esters, giving glucose pentaacetate. Five acetylated oxygens is exactly what the open-chain formula predicts (four secondary \(\displaystyle -\text{OH}\) at C2–C5 plus the primary \(\displaystyle -\text{OH}\) at C6), and that part is fine. But the open-chain formula also predicts a sixth, untouched functional group — the \(\displaystyle -\text{CHO}\) at \(\displaystyle \mathrm{C_{1}}\) — which acetic anhydride cannot acetylate and which should therefore still be free to react with \(\displaystyle \text{NH}_2\text{OH}\) to give an oxime. It does not react. That means there is no free \(\displaystyle -\text{CHO}\) left in the pentaacetate at all — only five oxygens capable of forming esters exist on the whole molecule, not four \(\displaystyle -\text{OH}\) plus one \(\displaystyle -\text{CHO}\).Reaction $\displaystyle 4$ — two crystalline forms, and mutarotation. Crystallising D-glucose under different conditions gives two distinct solids: \(\displaystyle \alpha\text{-D-glucose}\), melting point $\displaystyle 419$ K, specific rotation \(\displaystyle [\alpha]_D = +111^{\circ}\), and \(\displaystyle \beta\text{-D-glucose}\), melting point $\displaystyle 423$ K, specific rotation \(\displaystyle [\alpha]_D = +19.2^{\circ}\). A single open-chain structure has one arrangement of atoms and can give only one melting point and one specific rotation — it cannot explain two different solids with the same molecular formula, \(\displaystyle \text{C}_6\text{H}_{12}\text{O}_6\). Worse, when either pure form is dissolved in water, its rotation does not stay fixed: it drifts gradually until both solutions settle at the same value, \(\displaystyle [\alpha]_D = +52.7^{\circ}\). This gradual drift to a common value is called mutarotation, and an open chain — with no extra stereocentre to interconvert around — has no mechanism to produce it.Why the ring explains all four. The resolution is that the \(\displaystyle -\text{OH}\) on \(\displaystyle \mathrm{C_{5}}\) attacks the carbonyl carbon, \(\displaystyle \mathrm{C_{1}}\), intramolecularly. The \(\displaystyle \mathrm{C_{5}}\) oxygen's lone pair attacks the electrophilic carbonyl carbon of the \(\displaystyle -\text{CHO}\); the C=O \(\displaystyle \pi\) bond breaks, its electrons moving onto the carbonyl oxygen; a new C1–O(ring) bond forms, and a proton transfer converts that oxygen into part of a six-membered ring while leaving a new \(\displaystyle -\text{OH}\) sitting on C1. This closes glucose into a six-membered cyclic hemiacetal, the pyranose form, written as a ring of O–C1–C2–C3–C4–C5 with the \(\displaystyle -\text{CH}_2\text{OH}\) hanging off C5.\(\displaystyle \mathrm{C_{1}}\) is no longer a carbonyl carbon — it is a hemiacetal carbon, bonded to one ring oxygen, one \(\displaystyle -\text{OH}\), one \(\displaystyle -\text{H}\), and C2. A hemiacetal carbon does not reduce Schiff's reagent and does not add \(\displaystyle \text{NaHSO}_3\) the way a free aldehyde does, which is exactly Reactions $\displaystyle 1$ and $\displaystyle 2$ accounted for. In the pentaacetate, this \(\displaystyle \mathrm{C_{1}}\) \(\displaystyle -\text{OH}\) is simply the fifth \(\displaystyle -\text{OH}\) that gets acetylated along with the other four — there is no separate sixth group left over for hydroxylamine to attack, which is Reaction $\displaystyle 3$ accounted for.Because \(\displaystyle \mathrm{C_{1}}\) was not a stereocentre in the open chain (it only had two different substituents, =O and H) but becomes one on ring closure (now bonded to four different groups: ring-O, OH, H, C2), two new arrangements become possible at \(\displaystyle \mathrm{C_{1}}\): the new \(\displaystyle -\text{OH}\) can end up on the same side as the reference \(\displaystyle -\text{OH}\) used to assign D/L configuration (\(\displaystyle \beta\)-D-glucose) or on the opposite side (\(\displaystyle \alpha\)-D-glucose). These are the two crystalline anomers of Reaction $\displaystyle 4$, differing only at \(\displaystyle \mathrm{C_{1}}\) — which is why they have different melting points and different rotations despite being the "same" molecule everywhere else. In solution, the ring can transiently reopen back through the same hemiacetal step in reverse — the C1–O(ring) bond breaks, regenerating the free \(\displaystyle -\text{CHO}\) and the \(\displaystyle \mathrm{C_{5}}\) \(\displaystyle -\text{OH}\) for an instant — and then recloses randomly as either anomer. Repeating this many times drives both pure \(\displaystyle \alpha\) and pure \(\displaystyle \beta\) solutions to the same equilibrium mixture (about $\displaystyle 64$% \(\displaystyle \beta\), $\displaystyle 36$% \(\displaystyle \alpha\), with a negligible trace of open chain), which is why both land on the identical rotation, \(\displaystyle +52.7^{\circ}\) — mutarotation.Answer: The reactions of D-glucose that an open-chain structure cannot explain are (i) the absence of Schiff's test, (ii) the absence of a \(\displaystyle \text{NaHSO}_3\) bisulphite addition product, (iii) the failure of glucose pentaacetate to react with hydroxylamine (showing no free \(\displaystyle -\text{CHO}\) survives once the five \(\displaystyle -\text{OH}\) groups are acetylated), and (iv) the existence of two crystalline anomers, \(\displaystyle \alpha\text{-D-glucose}\) (mp $\displaystyle 419$ K, \(\displaystyle [\alpha]_D=+111^{\circ}\)) and \(\displaystyle \beta\text{-D-glucose}\) (mp $\displaystyle 423$ K, \(\displaystyle [\alpha]_D=+19.2^{\circ}\)), whose rotations both drift on dissolving to a common equilibrium value of \(\displaystyle +52.7^{\circ}\) (mutarotation). All four are explained by D-glucose existing predominantly as a six-membered cyclic hemiacetal (pyranose ring, formed between the C5–OH and the C1–CHO), in which \(\displaystyle \mathrm{C_{1}}\) becomes a new stereocentre bearing \(\displaystyle -\text{OH}\) and \(\displaystyle -\text{H}\) instead of a free carbonyl.