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Q. In the reaction of formation of sulphur trioxide by contact process $2SO_{2} + O_{2} {\rightleftharpoons} 2SO_{3}$ the rate of reaction was measured as $\frac{d\left[O_{2}\right]}{dt} = 2.5\times10^{-4}mol \,L^{-1} \,s^{-1}.$ The rate of reaction in terms of $[SO_2]$ in mol $L^{-1}s^{-1}$ will be :

JEE MainJEE Main 2014Chemical Kinetics

Solution:

$-\frac{1}{2}\frac{d}{d t} \left[SO_{2}\right]=-\frac{d}{d t} \left[O_{2}\right]$

$\Rightarrow \quad\frac{d}{d t} \left[So_{2}\right]=-2\times2.5\times10^{-4}$

$=-5\times10^{-4}$