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Q.

For the chemical equations
$N_{2} O_{5} \to 2 {NO}_{2} + \frac{1}{2} O_{2}$ rate constant= k
$2 N_{2} O_{5} \to 4 {NO}_{2} + O_{2}$ rate constant = k'
which of the following expressions is correct?

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a

$k = k^{'}$

b

$k = 3 k^{'}$

c

$2 k = k^{'}$

d

$k = 2 k^{'}$

answer is B.

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Detailed Solution

We will have $- \frac{d [N_{2} O_{5}]}{d t} = k [N_{2} O_{5}]$ and $- \frac{1}{2} \frac{d [N_{2} O_{5}]}{d t} = k^{'} [N_{2} O_{5}]$

To have the same value of $- d [N_{2} O_{5}] / d t$ we will have $k = 2 k^{'}$ .

Hence, option B is correct.

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For the chemical equations N2O5→2NO2+12O2 rate constant= k2N2O5→4NO2+O2 rate constant = k'which of the following expressions is correct?