(C) The rate of appearance of $B$ is determined by the first reaction path.For the reaction $A \rightarrow 2B$,the rate of reaction is given by $\frac

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$8 \times 10^{-3} \ M \ s^{-1}$

(C) The rate of appearance of $B$ is determined by the first reaction path.For the reaction $A \rightarrow 2B$,the rate of reaction is given by $\frac{1}{2} \frac{d[B]}{dt} = K_1 [A]$.Therefore,$\frac{d[B]}{dt} = 2 K_1 [A]$.Given $K_1 = 2 \times 10^{-3} \ s^{-1}$ and $[A] = 2 \ M$.$\frac{d[B]}{dt} = 2 \times (2 \times 10^{-3} \ s^{-1}) \times (2 \ M) = 8 \times 10^{-3} \ M \ s^{-1}$.

Class 12 Chemistry Chemical Kinetics Rate of a reaction

Medium

For the decomposition of $A$ as shown below,calculate the rate of appearance of $B$ if the initial concentration of $A$ is $2 \ M$.
$A_{(g)} \xrightarrow{K_1 = 2 \times 10^{-3} \ s^{-1}} 2B_{(g)}$
$A_{(g)} \xrightarrow{K_2 = 1 \times 10^{-3} \ s^{-1}} C_{(g)}$

A
$2 \times 10^{-3} \ M \ s^{-1}$
B
$4 \times 10^{-3} \ M \ s^{-1}$
C
$8 \times 10^{-3} \ M \ s^{-1}$
D
None of these

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Chemical Kinetics

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Rate of a reaction

At a definite temperature and pressure,the rate of a reaction depends on which of the following factors?

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For the reaction $H_2 + I_2 \rightarrow 2HI$,state the correct differential rate law.

Medium

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Explain the difference between instantaneous rate of a reaction and average rate of a reaction.

Medium

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Calculate the instantaneous rate $(r_{inst})$ based on the example problem $-1$ graphically for the times $250\ s$,$350\ s$,$450\ s$,and $600\ s$.

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For the reaction $N_{2(g)} + 3H_{2(g)} \to 2NH_{3(g)}$ under certain conditions of temperature and partial pressure of the reactants,the rate of formation of $NH_3$ is $0.001 \ kg \ L^{-1} \ h^{-1}$. The rate of consumption of $H_2$ under the same condition is $..... \ kg \ L^{-1} \ h^{-1}$.

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For the decomposition of $A$ as shown below,calculate the rate of appearance of $B$ if the initial concentration of $A$ is $2 \ M$.$A_{(g)} \xrightarrow{K_1 = 2 \times 10^{-3} \ s^{-1}} 2B_{(g)}$$A_{(g)} \xrightarrow{K_2 = 1 \times 10^{-3} \ s^{-1}} C_{(g)}$

Similar Questions

At a definite temperature and pressure,the rate of a reaction depends on which of the following factors?

For the reaction $H_2 + I_2 \rightarrow 2HI$,state the correct differential rate law.

Explain the difference between instantaneous rate of a reaction and average rate of a reaction.

Calculate the instantaneous rate $(r_{inst})$ based on the example problem $-1$ graphically for the times $250\ s$,$350\ s$,$450\ s$,and $600\ s$.

For the reaction $N_{2(g)} + 3H_{2(g)} \to 2NH_{3(g)}$ under certain conditions of temperature and partial pressure of the reactants,the rate of formation of $NH_3$ is $0.001 \ kg \ L^{-1} \ h^{-1}$. The rate of consumption of $H_2$ under the same condition is $..... \ kg \ L^{-1} \ h^{-1}$.

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For the decomposition of $A$ as shown below,calculate the rate of appearance of $B$ if the initial concentration of $A$ is $2 \ M$.
$A_{(g)} \xrightarrow{K_1 = 2 \times 10^{-3} \ s^{-1}} 2B_{(g)}$
$A_{(g)} \xrightarrow{K_2 = 1 \times 10^{-3} \ s^{-1}} C_{(g)}$