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Q.

For the reaction;
$2 {NO}_{2} (g) \to 2 NO (g) + O_{2} (g)$
at a certain temperature; the initial rate of decomposition of ${NO}_{2}$ is $0.0036 mol L^{- 1} s^{- 1}$ What is the initial rate of formation of $O_{2} (g) in mol \cdot L^{- 1} \cdot s^{- 1}$ ?

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a

$0.0018$

b

$0.0072$

c

$0.0054$

d

$0.0036$

answer is A.

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Detailed Solution

Rate of decomposition of ${NO}_{2}$

$- \frac{1}{2} \frac{d [{NO}_{2}]}{d t} = \frac{d [O_{2}]}{d t} - \frac{1}{2} \times 0.0036 = \frac{d [O_{2}]}{d t} - 0.0018 = \frac{d [O_{2}]}{d t}$

The initial rate of formation of $O_{2} (g)$ is $0.0018$ $mol \cdot L^{- 1} \cdot s^{- 1}$

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For the reaction; 2NO2(g)→2NO(g)+O2(g)at a certain temperature; the initial rate of decomposition of NO2 is 0.0036mol L-1 s−1 What is the initial rate of formation of O2(g) in mol ⋅L−1⋅s−1 ?