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Q. $2N_{2}O_{5}\left(\right.g\left.\right) \rightarrow 4\left(NO\right)_{2}\left(\right.g\left.\right)+O_{2}\left(\right.g\left.\right)$

What is the ratio of the rate of decomposition of $N_{2}O_{5}$ to rate of formation of $O_{2}$ ?

NTA AbhyasNTA Abhyas 2022

Solution:

As per unique value of reaction rate:
$- \frac{1}{2} \frac{\text{d}}{\text{dt}} \left[\text{N}_{2} \text{O}_{5}\right] = \frac{1}{1} \frac{\text{d}}{\text{dt}} \left[\text{O}_{2}\right]$
$\therefore \frac{\frac{\text{d}}{\text{dt}} \left[\text{N}_{2} \text{O}_{5}\right]}{\frac{\text{d}}{\text{dt}} \left[\text{O}_{2}\right]} = \text{2 : 1}$ ​