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Chemistry · 2022 · 2 marks
CBSE 2022 · Region 2 · Set 1 · Q2
In the given reaction N_2( g )+3 H_2( g ) → 2 NH_3( g ) the rate of formation of NH_3 is 3 · 6 × 10^-4 mol L^-1 s^-1. Calculate the (i) rate of…
In the given reaction \[\mathrm{N}_{2}(\mathrm{~g})+3 \mathrm{H}_{2}(\mathrm{~g}) \longrightarrow 2 \mathrm{NH}_{3}(\mathrm{~g}) \] the rate of formation of $\displaystyle \mathrm{NH}_{3}$ is $\displaystyle 3 \cdot 6 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$.
Calculate the
(i)
rate of reaction, and
(ii)
rate of disappearance of $\displaystyle \mathrm{H}_{2}(\mathrm{~g})$.
Marking-scheme solution
(i) Rate \(\displaystyle =\frac{-\Delta\left(\mathrm{N}_{2}\right)}{\Delta t}=\frac{-1}{3} \frac{\Delta\left(\mathrm{H}_{2}\right)}{\Delta t}=\frac{+1}{2} \frac{\Delta\left(\mathrm{NH}_{3}\right)}{\Delta t}\)
\[\text { Rate }=\frac{1}{2} \times 3 \cdot 6 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}=1 \cdot 8 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}
\]
(ii) \(\displaystyle \frac{-\Delta\left(\mathrm{H}_{2}\right)}{\Delta t}=3 \times 1.8 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}=5.4 \times 10^{-4} \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}\)
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