(B) For the reaction $N_2O_5 \rightarrow 2NO_2 + \frac{1}{2}O_2$,the rate of reaction is given by:Rate $= -\frac{d[N_2O_5]}{dt} = \frac{1}{2} \frac{d[

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(B) For the reaction $N_2O_5 \rightarrow 2NO_2 + \frac{1}{2}O_2$,the rate of reaction is given by:Rate $= -\frac{d[N_2O_5]}{dt} = \frac{1}{2} \frac{d[NO_2]}{dt} = 2 \frac{d[O_2]}{dt}$Substituting the given rate expressions:$K_1[N_2O_5] = \frac{1}{2} K_2[N_2O_5] = 2K_3[N_2O_5]$Dividing by $[N_2O_5]$ gives $K_1 = \frac{1}{2} K_2 = 2K_3$.Multiplying the entire relation by $2$,we get $2K_1 = K_2 = 4K_3$.

Class 12 Chemistry Chemical Kinetics Rate law , Rate constant , Order of Reaction and Molecularity

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For the gaseous reaction,$N_2O_5 \rightarrow 2NO_2 + \frac{1}{2}O_2$,the rate can be expressed as:
$-\frac{d[N_2O_5]}{dt} = K_1[N_2O_5]$
$+\frac{d[NO_2]}{dt} = K_2[N_2O_5]$
$+\frac{d[O_2]}{dt} = K_3[N_2O_5]$
The correct relation between $K_1, K_2$ and $K_3$ is:

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A
$K_1 = 2K_2 = 4K_3$
B
$2K_1 = K_2 = 4K_3$
C
$2K_1 = 3K_2 = 4K_3$
D
$4K_1 = 2K_2 = K_3$

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Chemical Kinetics

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Rate law , Rate constant , Order of Reaction and Molecularity

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The mechanism of reaction $2 \ NO + Cl_2 \rightarrow 2 \ NOCl$ is given as :
$(i) 2 NO \underset{k_2}{\stackrel{k_1}{\rightleftharpoons}} N_2 O _2$ (fast)
$(ii) N_2O_2 + Cl_2 \xrightarrow{K_3} 2 \ NOCl$ (slow)
The rate expression of the reaction will be :

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For the hypothetical reaction $2X + G \to Q + 2M$,the rate expression is $\frac{d[Q]}{dt} = k[X]^2$. Which of the following is the most likely mechanism?

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Fill in the blanks:
$1.$ The rate of reaction depends on the ........... step.
$2.$ In a bimolecular reaction,the reaction takes place with ........... species and ........... .
$3.$ The order of reaction is determined by ...........

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For the reaction $A + B \rightarrow \text{product}$,the rate of reaction is $3.6 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[A] = 0.2 \ mol \ dm^{-3}$ and $[B] = 0.1 \ mol \ dm^{-3}$,calculate the rate constant of the reaction if the reaction is first order in $A$ and second order in $B$.

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Half-life of a reaction is found to be inversely proportional to the fifth power of its initial concentration,the order of reaction is

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For the gaseous reaction,$N_2O_5 \rightarrow 2NO_2 + \frac{1}{2}O_2$,the rate can be expressed as:$-\frac{d[N_2O_5]}{dt} = K_1[N_2O_5]$$+\frac{d[NO_2]}{dt} = K_2[N_2O_5]$$+\frac{d[O_2]}{dt} = K_3[N_2O_5]$The correct relation between $K_1, K_2$ and $K_3$ is:

Similar Questions

The mechanism of reaction $2 \ NO + Cl_2 \rightarrow 2 \ NOCl$ is given as : $(i) 2 NO \underset{k_2}{\stackrel{k_1}{\rightleftharpoons}} N_2 O _2$ (fast) $(ii) N_2O_2 + Cl_2 \xrightarrow{K_3} 2 \ NOCl$ (slow) The rate expression of the reaction will be :

For the hypothetical reaction $2X + G \to Q + 2M$,the rate expression is $\frac{d[Q]}{dt} = k[X]^2$. Which of the following is the most likely mechanism?

Fill in the blanks:$1.$ The rate of reaction depends on the ........... step.$2.$ In a bimolecular reaction,the reaction takes place with ........... species and ........... .$3.$ The order of reaction is determined by ...........

For the reaction $A + B \rightarrow \text{product}$,the rate of reaction is $3.6 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[A] = 0.2 \ mol \ dm^{-3}$ and $[B] = 0.1 \ mol \ dm^{-3}$,calculate the rate constant of the reaction if the reaction is first order in $A$ and second order in $B$.

Half-life of a reaction is found to be inversely proportional to the fifth power of its initial concentration,the order of reaction is

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For the gaseous reaction,$N_2O_5 \rightarrow 2NO_2 + \frac{1}{2}O_2$,the rate can be expressed as:
$-\frac{d[N_2O_5]}{dt} = K_1[N_2O_5]$
$+\frac{d[NO_2]}{dt} = K_2[N_2O_5]$
$+\frac{d[O_2]}{dt} = K_3[N_2O_5]$
The correct relation between $K_1, K_2$ and $K_3$ is:

The mechanism of reaction $2 \ NO + Cl_2 \rightarrow 2 \ NOCl$ is given as :
$(i) 2 NO \underset{k_2}{\stackrel{k_1}{\rightleftharpoons}} N_2 O _2$ (fast)
$(ii) N_2O_2 + Cl_2 \xrightarrow{K_3} 2 \ NOCl$ (slow)
The rate expression of the reaction will be :

Fill in the blanks:
$1.$ The rate of reaction depends on the ........... step.
$2.$ In a bimolecular reaction,the reaction takes place with ........... species and ........... .
$3.$ The order of reaction is determined by ...........