(A) For a first-order reaction,the formula is $t = \frac{2.303}{k} \log \frac{[R]_0}{[R]_t}$.Here,$[R]_0$ is the initial concentration and $[R]_t$ is

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(A) For a first-order reaction,the formula is $t = \frac{2.303}{k} \log \frac{[R]_0}{[R]_t}$.Here,$[R]_0$ is the initial concentration and $[R]_t$ is the concentration at time $t$.Given,$k = 60 \ s^{-1}$ and $[R]_t = \frac{[R]_0}{10}$.Substituting the values: $t = \frac{2.303}{60} \log \frac{[R]_0}{[R]_0/10}$.$t = \frac{2.303}{60} \log(10)$.Since $\log(10) = 1$,$t = \frac{2.303}{60} \approx 3.838 \times 10^{-2} \ s$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Difficult

For a first-order reaction,the rate constant is $60 \ s^{-1}$. How much time will it take for the initial concentration of the reactant to be reduced to $1/10$th of its initial value?

A
$3.8 \times 10^{-2} \ s$
B
$1.26 \times 10^{13} \ s$
C
$2.01 \times 10^{13} \ s$
D
$1.097 \times 10^{13} \ s$

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Chemical Kinetics

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First Order reaction

$A$ first order reaction which is $30\%$ complete in $30 \ min$ has a half-life period of .............. $min.$ (in $.2$)

MediumAIIMS 1998

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For a first order reaction $A \to B$,the reaction rate at reactant concentration of $0.01 \ M$ is found to be $2.0 \times 10^{-5} \ M \ sec^{-1}$. The half-life period of the reaction is .......... $sec$.

Medium

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In the equation $Kt = \ln C_0 - \ln C_t$,the graph between $t$ and $\ln C_t$ is a .....

Medium

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For a first order reaction,the rate constant is $0.6932 \ hr^{-1}$,then the half-life for the reaction is ......... $hr$.

Easy

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$T_{50}$ of a first-order reaction is $10 \ min$. Starting with $10 \ mol \ L^{-1}$,the rate after $20 \ min$ is:

MediumAIIMS 2008

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For a first-order reaction,the rate constant is $60 \ s^{-1}$. How much time will it take for the initial concentration of the reactant to be reduced to $1/10$th of its initial value?

Similar Questions

$A$ first order reaction which is $30\%$ complete in $30 \ min$ has a half-life period of .............. $min.$ (in $.2$)

For a first order reaction $A \to B$,the reaction rate at reactant concentration of $0.01 \ M$ is found to be $2.0 \times 10^{-5} \ M \ sec^{-1}$. The half-life period of the reaction is .......... $sec$.

In the equation $Kt = \ln C_0 - \ln C_t$,the graph between $t$ and $\ln C_t$ is a .....

For a first order reaction,the rate constant is $0.6932 \ hr^{-1}$,then the half-life for the reaction is ......... $hr$.

$T_{50}$ of a first-order reaction is $10 \ min$. Starting with $10 \ mol \ L^{-1}$,the rate after $20 \ min$ is:

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