QJEEM24Chb741: JEE Main 2024 Chemistry - Class 12 JEEM24Chb741 Solution: Consider the two different first order reactions given below A…

Consider the two different first order reactions given below

$$\begin{array}{rl}& \mathrm{A}+\mathrm{B}\to \mathrm{C}\text{ (Reaction 1) }\\ & \mathrm{P}\to \mathrm{Q}\text{ (Reaction 2) }\end{array}$$

The ratio of the half life of Reaction 1 : Reaction 2 is $$5:2$$ If $$t_1$$ and $$t_2$$ represent the time taken to complete $$2/3^{\text{rd }}$$ and $$4/5^{\text{th }}$$ of Reaction 1 and Reaction 2 , respectively, then the value of the ratio $$t_1:t_2$$ is _________ $$\times {10}^{-1}$$ (nearest integer). [Given : $${\log }_{10}(3)=0.477$$ and $${\log }_{10}(5)=0.699$$]