1
JEE Main 2024 (Online) 6th April Evening Shift
Numerical
+4
-1
Change Language

Consider the two different first order reactions given below

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

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 $$\log _{10}(5)=0.699$$]

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2
JEE Main 2024 (Online) 6th April Morning Shift
Numerical
+4
-1
Change Language

Time required for $$99.9 \%$$ completion of a first order reaction is _________ times the time required for completion of $$90 \%$$ reaction.(nearest integer)

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3
JEE Main 2024 (Online) 5th April Evening Shift
Numerical
+4
-1
Change Language

Consider the following single step reaction in gas phase at constant temperature.

$$2 \mathrm{~A}_{(\mathrm{g})}+\mathrm{B}_{(\mathrm{g})} \rightarrow \mathrm{C}_{(\mathrm{g})}$$

The initial rate of the reaction is recorded as $$\mathrm{r}_1$$ when the reaction starts with $$1.5 \mathrm{~atm}$$ pressure of $$\mathrm{A}$$ and $$0.7 \mathrm{~atm}$$ pressure of B. After some time, the rate $$r_2$$ is recorded when the pressure of C becomes $$0.5 \mathrm{~atm}$$. The ratio $$\mathrm{r}_1: \mathrm{r}_2$$ is _________ $$\times 10^{-1}$$. (Nearest integer)

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4
JEE Main 2024 (Online) 5th April Morning Shift
Numerical
+4
-1
Change Language

During Kinetic study of reaction $$\mathrm{2 A+B \rightarrow C+D}$$, the following results were obtained :

$$\mathrm{A [M]}$$ $$\mathrm{B [M]}$$ initial rate of formation of $$\mathrm{D}$$
I 0.1 0.1 $$6.0\times10^{-3}$$
II 0.3 0.2 $$7.2\times10^{-2}$$
III 0.3 0.4 $$2.88\times10^{-1}$$
IV 0.4 0.1 $$2.40\times10^{-2}$$

Based on above data, overall order of the reaction is _________.

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