Question

For the reaction, $N_2\left(g\right)+3H_2\left(g\right)⟶2N{H}_3\left(g\right)$, under certain conditions of temperature and pressure of the reactants, the rate of formation of ammonia is $0.001$ $kg$ ${hr}^{-1}$. The rate of consumption of hydrogen under the same conditions is ________ $kg$ ${hr}^{-1}$.

• A. $0.001$
• B. $0.003$
• C. $0.002$
• D. $0.0015$

Answer 1

The correct option is D $0.0015$

$\frac{-1}{3}\frac{d}{dt}\left[H_2\right]=\frac{1}{2}\frac{d}{dt}\left[{NH}_3\right]$

So, $-\frac{d}{dt}\left[H_2\right]=\frac{3}{2}.\frac{d}{dt}\left[{NH}_3\right]-\frac{d}{dt}\left[H_2\right]=\frac{3}{2}.0.001hr-1=0.0015h{r}^{-1}$