(A) The rate law for the reaction is given by: $\text{Rate} = k[A]^1[B]^0 = k[A]$.Since the reaction is first order with respect to $A$,the integrated

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(A) The rate law for the reaction is given by: $\text{Rate} = k[A]^1[B]^0 = k[A]$.Since the reaction is first order with respect to $A$,the integrated rate equation for $A$ is: $\ln(a_t) = \ln(a_0) - kt$.Taking the exponential on both sides,we get: $a_t = a_0 e^{-kt}$.

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

The reaction $A + B \xrightarrow{k}$ product is first order with respect to $A$ and zero order with respect to $B$. If $a_0$ and $a_t$ are the concentrations of $A$ at $t = 0$ and after time $t \, sec$ respectively,then select the correct relationship -

A
$a_t = a_0 e^{-kt}$
B
$a_t = a_0 - kt$
C
$a_t = a_0 + kt$
D
$a_t = a_0 e^{kt}$

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Class 12

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Chemical Kinetics

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First Order reaction

For a first-order reaction $A \to B$,what will be the slope of the graph of $t$ versus $\log(a - x)$?

Easy

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The half-life period for a first order reaction is $693 \ sec$. The rate constant for this reaction would be: (in $sec^{-1}$)

Medium

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Assertion : For a first order reaction,$t_{1/2}$ is independent of initial concentration.
Reason : For a first order reaction,rate constant $k \propto [R]$.

Medium

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$N_2O_5 \rightarrow 2NO_{2(g)} + \frac{1}{2}O_{2(g)}$ is a first order reaction. $k = 5 \times 10^{-4} \ s^{-1}$. The initial concentration of $N_2O_5 = 0.2 \ mol \ L^{-1}$. After how much time will its concentration be $25 \%$ of the initial concentration (in $s$)?

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If benzene diazonium chloride undergoes first order decomposition at $T \ K$ with a rate constant of $6.93 \times 10^{-2} \ min^{-1}$,the time for completion of $90 \%$ of the reaction (in $min$) is (nearest integer) $(\log 2 = 0.30, \log 3 = 0.477)$.

MediumTS EAMCET 2023

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The reaction $A + B \xrightarrow{k}$ product is first order with respect to $A$ and zero order with respect to $B$. If $a_0$ and $a_t$ are the concentrations of $A$ at $t = 0$ and after time $t \, sec$ respectively,then select the correct relationship -

Similar Questions

For a first-order reaction $A \to B$,what will be the slope of the graph of $t$ versus $\log(a - x)$?

The half-life period for a first order reaction is $693 \ sec$. The rate constant for this reaction would be: (in $sec^{-1}$)

Assertion : For a first order reaction,$t_{1/2}$ is independent of initial concentration. Reason : For a first order reaction,rate constant $k \propto [R]$.

$N_2O_5 \rightarrow 2NO_{2(g)} + \frac{1}{2}O_{2(g)}$ is a first order reaction. $k = 5 \times 10^{-4} \ s^{-1}$. The initial concentration of $N_2O_5 = 0.2 \ mol \ L^{-1}$. After how much time will its concentration be $25 \%$ of the initial concentration (in $s$)?

If benzene diazonium chloride undergoes first order decomposition at $T \ K$ with a rate constant of $6.93 \times 10^{-2} \ min^{-1}$,the time for completion of $90 \%$ of the reaction (in $min$) is (nearest integer) $(\log 2 = 0.30, \log 3 = 0.477)$.

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Assertion : For a first order reaction,$t_{1/2}$ is independent of initial concentration.
Reason : For a first order reaction,rate constant $k \propto [R]$.