For the first order decompsition reaction&nbs | vedclass

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Question

$\left.2 N _2 O _5 g \right) \rightarrow 4 NO _{2( g )}+ O _2( g )$

$\Rightarrow k =\frac{\left[ NO _2\right]^4\left[ O _2\right]}{\left[ N _2 O _5

Vedclass · Accepted Answer

$k=k'$

Vedclass · Answer

$\left.2 N _2 O _5 g \right) \rightarrow 4 NO _{2( g )}+ O _2( g )$

$\Rightarrow k =\frac{\left[ NO _2\right]^4\left[ O _2\right]}{\left[ N _2 O _5\right]^2} \rightarrow(1)$

$N _2 O _{5( g )} \longrightarrow 2 NO _{2( g )}+1 / 2 O _2( g )$

$\Rightarrow k ^{\prime}=\frac{\left[ NO _2\right]^2\left[ O _2\right]^{1 / 2}}{\left[ N _2 O _5\right]}$

$\Rightarrow\left[ N _2 O _5\right]=\frac{\left[ NO _2\right]^2\left[ O _2\right]^{1 / 2}}{ k ^{\prime}} \rightarrow(2)$

$(2)$ in $(1)$ $\Rightarrow k =\frac{\left[ NO _2\right]^4\left[ O _2\right]}{\frac{\left[ NO _2\right]^4\left[ O _2\right]}{ k ^{\prime 2}}}= k ^2$

$\Rightarrow k\, >\, k$

For the first order decompsition reaction of $N_2O_5$, it is found that -

$(a)$ $2N_2O_5\rightarrow\,\,4NO_2(g)+O_2(g)-\frac{d[N_2O_5]}{dt}=k[N_2O_5]$

$(a)$ $N_2O_5\rightarrow\,\,2NO_2(g)+1/2\,\,O_2(g)-\frac{d[N_2O_5]}{dt}=k'[N_2O_5]$

which of the following is true ?

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For the first order decompsition reaction of $N_2O_5$, it is found that - $(a)$ $2N_2O_5\rightarrow\,\,4NO_2(g)+O_2(g)-\frac{d[N_2O_5]}{dt}=k[N_2O_5]$ $(a)$ $N_2O_5\rightarrow\,\,2NO_2(g)+1/2\,\,O_2(g)-\frac{d[N_2O_5]}{dt}=k'[N_2O_5]$ which of the following is true ?