(A) For a first order reaction,the rate constant $K$ is given by the formula:$K = \frac{2.303}{t} \log \left(\frac{[A]_0}{[A]_t}\right)$Given:Initial

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(A) For a first order reaction,the rate constant $K$ is given by the formula:$K = \frac{2.303}{t} \log \left(\frac{[A]_0}{[A]_t}\right)$Given:Initial concentration $[A]_0 = 0.1 \, M$Concentration after time $t$,$[A]_t = 0.001 \, M$Time $t = 5 \, \min$Substituting the values:$K = \frac{2.303}{5} \log \left(\frac{0.1}{0.001}\right)$$K = \frac{2.303}{5} \log(100)$Since $\log(100) = 2$:$K = \frac{2.303 \times 2}{5} = \frac{4.606}{5} = 0.9212 \, \min^{-1}$

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

For a first order reaction $A \rightarrow \text{Products}$,initial concentration of $A$ is $0.1 \, M$,which becomes $0.001 \, M$ after $5 \, \min$. Rate constant for the reaction in $\min^{-1}$ is .... .

NEET 2022 All NEET

A
$0.9212$
B
$0.4606$
C
$0.2303$
D
$1.3818$

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Chemical Kinetics

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First Order 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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For which of the following reactions is the half-life period independent of the initial concentration of the reactant?

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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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$A$ first order reaction requires $30 \ min$ for $50\%$ completion. The time required to complete the reaction by $75\%$ will be .......... $\min.$

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For a first order reaction,the velocity constant is $K = 10^{-3} \ s^{-1}$. The two-third life for it would be ........... $s$.

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For a first order reaction $A \rightarrow \text{Products}$,initial concentration of $A$ is $0.1 \, M$,which becomes $0.001 \, M$ after $5 \, \min$. Rate constant for the reaction in $\min^{-1}$ is .... .

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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 .......... $min$.

For which of the following reactions is the half-life period independent of the initial concentration of the reactant?

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 $K$.

$A$ first order reaction requires $30 \ min$ for $50\%$ completion. The time required to complete the reaction by $75\%$ will be .......... $\min.$

For a first order reaction,the velocity constant is $K = 10^{-3} \ s^{-1}$. The two-third life for it would be ........... $s$.

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