Consider the two different first order reactions given below A+B → C (Reaction 1); P → Q (Reaction 2) The ratio of the half life of Reaction 1:…

Consider the two different first order reactions given below $$\begin{aligned} & A+B \rightarrow C \text { (Reaction 1) } \\ & P \rightarrow Q \text { (Reaction 2) } \end{aligned} $$ The ratio of the half life of Reaction $\displaystyle 1$ : Reaction $\displaystyle 2$ is $\displaystyle 5$ : 2. If $\displaystyle t_1$ and $\displaystyle t_2$ represent the time taken to complete $\displaystyle \frac{2}{3}{ }^{\text {rd }}$ and $\displaystyle \frac{4}{5}{ }^{\text {th }}$ of Reaction $\displaystyle 1$ and Reaction $\displaystyle 2$, respectively, then the value of the ratio $\displaystyle \mathrm{t}_1: \mathrm{t}_2$ is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-1}$ (nearest integer). [Given : $\displaystyle \log _{10}(3)=0.477$ and $\displaystyle \log _{10}(5)=0.699$ ]