(B) For a first-order reaction,the integrated rate equation is $t = \frac{2.303}{k} \log \frac{[A]_0}{[A]_t}$.For $93.75\%$ completion,$[A]_t = 100 -

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(B) For a first-order reaction,the integrated rate equation is $t = \frac{2.303}{k} \log \frac{[A]_0}{[A]_t}$.For $93.75\%$ completion,$[A]_t = 100 - 93.75 = 6.25$.$t_{93.75\%} = \frac{2.303}{k} \log \frac{100}{6.25} = \frac{2.303}{k} \log 16 = \frac{2.303}{k} \log 2^4 = 4 \times \frac{2.303 \times 0.3010}{k}$.Since $t_{0.5} = \frac{0.693}{k} = \frac{2.303 \times 0.3010}{k}$,we get $t_{93.75\%} = 4 \times t_{0.5}$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Difficult

For a first-order reaction,the time required for $93.75\%$ completion is $4$ times the half-life of the reaction. What is the relationship between the time required for $93.75\%$ completion and the half-life $(t_{0.5})$?

A
$5 \times t_{0.5}$
B
$4 \times t_{0.5}$
C
$3 \times t_{0.5}$
D
$2 \times t_{0.5}$

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Class 12

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Chemical Kinetics

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First Order reaction

For a homogeneous gaseous reaction $A_{(g)} \to 3B_{(g)}$,if the pressure after time $t$ is $P_t$ and after completion of the reaction the pressure is $P_\infty$,select the correct relation for the rate constant $K$.

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For a first order reaction,the concentration of reactant decreases from $0.2 \ M$ to $0.1 \ M$ in $100 \ minutes$. What is the rate constant of the reaction?

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For a first order reaction $A \to$ product,the rate of reaction at $[A] = 0.2 \, mol \, L^{-1}$ is $1.0 \times 10^{-2} \, mol \, L^{-1} \, min^{-1}$. The half-life period for the reaction is .......... $min$.

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The first order rate constant for the decomposition of $N_2O_5$ is $6.2 \times 10^{-4} \ s^{-1}$. The half-life period for this decomposition in seconds is:

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In a first order reaction, $20 \text{ mmol}$ of reactant is reduced to $10 \text{ mmol}$ in $0.3010 \text{ min}$. Find the rate constant of the reaction. (in $\text{ min}^{-1}$)

DifficultMHT CET 2026

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For a first-order reaction,the time required for $93.75\%$ completion is $4$ times the half-life of the reaction. What is the relationship between the time required for $93.75\%$ completion and the half-life $(t_{0.5})$?

Similar Questions

For a homogeneous gaseous reaction $A_{(g)} \to 3B_{(g)}$,if the pressure after time $t$ is $P_t$ and after completion of the reaction the pressure is $P_\infty$,select the correct relation for the rate constant $K$.

For a first order reaction,the concentration of reactant decreases from $0.2 \ M$ to $0.1 \ M$ in $100 \ minutes$. What is the rate constant of the reaction?

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