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Q. For the reaction $N_{2}+3H_{2} \rightarrow 2NH_{3}$
if $\frac{\Delta\left[NH_{3}\right]}{\Delta t}=2\times10^{-4}\,mol\,l^{-1}s^{-1},$ then value of $\frac{-\Delta\left[H_{2}\right]}{\Delta t}$ would be

VITEEEVITEEE 2019

Solution:

$N_{2}+3H_{2} \rightarrow 2NH_{3}$
$\frac{-\left[N_{2}\right]}{\Delta t}=\frac{1}{3} \frac{\Delta\left[H_{2}\right]}{\Delta t}=\frac{1}{2} \frac{\Delta\left[NH_{3}\right]}{\Delta t}$
$\therefore \frac{-\Delta\left[H_{2}\right]}{\Delta t}=\frac{3}{2}\times\frac{\Delta\left[NH_{3}\right]}{\Delta t}=\frac{3}{2}\times2\times10^{-4}$
$=3\times10^{-4}\,mol\,L^{-1}S^{-1}$