(A) For a first-order reaction,the rate constant is given by $k_1 = \frac{0.693}{t_{1/2}}$. Given $t_{1/2} = 40 \ s$,so $k_1 = \frac{0.693}{40} \ s^{-

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(A) For a first-order reaction,the rate constant is given by $k_1 = \frac{0.693}{t_{1/2}}$. Given $t_{1/2} = 40 \ s$,so $k_1 = \frac{0.693}{40} \ s^{-1}$.For a zero-order reaction,the rate constant is given by $k_0 = \frac{[A]_0}{2t_{1/2}}$. Given $[A]_0 = 1.386 \ mol \ m^{-3}$ and $t_{1/2} = 20 \ s$,so $k_0 = \frac{1.386}{2 \times 20} = \frac{1.386}{40} \ mol \ m^{-3} \ s^{-1}$.The ratio $\frac{k_1}{k_0} = \frac{0.693 / 40}{1.386 / 40} = \frac{0.693}{1.386} = 0.5 \ m^3 \ mol^{-1}$.

Class 12 Chemistry Chemical Kinetics Mix Examples-Chemical Kinetics

Medium

Under identical reaction conditions,the concentration of a substance is $1.386 \ mol \ m^{-3}$. It is halved in $40 \ s$ and $20 \ s$ by first-order and zero-order kinetics,respectively. The ratio of the rate constants for the first-order $(k_1)$ and zero-order $(k_0)$ reactions,$\left( \frac{k_1}{k_0} \right)$,is ............ $m^3 \ mol^{-1}$.

A
$0.5$
B
$1.0$
C
$1.5$
D
$2.0$

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Class 12

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Chemical Kinetics

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Mix Examples-Chemical Kinetics

For a first order reaction,which of the following statements is correct?

DifficultIIT 1998

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Write the half-life $({t_{1/2}})$ equation and its unit for the following reactions:
$(i)$ Zero order reaction
$(ii)$ First order reaction

Easy

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The reaction $A \xrightarrow{K} \text{Product}$ is zero order while the reaction $B \xrightarrow{K} \text{Product}$ is first order. For what initial concentration of $A$,the half-lives of the two reactions will be equal?

Medium

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Determine whether the following statements are True or False:
$(a)$ The rate of reaction can be decreased by decreasing the concentration of reactant.
$(b)$ Graphite quickly changes to Diamond.
$(c)$ The rate of corrosion of iron is fast.
$(d)$ The meaning of kinesis in Greek is movement.

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Which of the following statements is correct?

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For a first order reaction,which of the following statements is correct?

Write the half-life $({t_{1/2}})$ equation and its unit for the following reactions:$(i)$ Zero order reaction$(ii)$ First order reaction

The reaction $A \xrightarrow{K} \text{Product}$ is zero order while the reaction $B \xrightarrow{K} \text{Product}$ is first order. For what initial concentration of $A$,the half-lives of the two reactions will be equal?

Determine whether the following statements are True or False:$(a)$ The rate of reaction can be decreased by decreasing the concentration of reactant.$(b)$ Graphite quickly changes to Diamond.$(c)$ The rate of corrosion of iron is fast.$(d)$ The meaning of kinesis in Greek is movement.

Which of the following statements is correct?

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Write the half-life $({t_{1/2}})$ equation and its unit for the following reactions:
$(i)$ Zero order reaction
$(ii)$ First order reaction

Determine whether the following statements are True or False:
$(a)$ The rate of reaction can be decreased by decreasing the concentration of reactant.
$(b)$ Graphite quickly changes to Diamond.
$(c)$ The rate of corrosion of iron is fast.
$(d)$ The meaning of kinesis in Greek is movement.