Calculate the amount of hydrogen gas required in order to produce $100 \mathrm{~g}$ of ammonia by the…

Calculate the amount of hydrogen gas required in order to produce $100 \mathrm{~g}$ of ammonia by the reaction of $\mathrm{N}_2(g)$ and $\mathrm{H}_2(g)$ gases.
  1. $35.29 \mathrm{~g}$
  2. $17.65 \mathrm{~g}$
  3. $28.11 \mathrm{~g}$
  4. $34 \mathrm{~g}$

Solution

Ammonia is produced from gaseous $\mathrm{N}_2$ and $\mathrm{H}_2$,
or, $\begin{array}{lll}28 \mathrm{~g} & 6 \mathrm{~g} & 34 \mathrm{~g}\end{array}$ So, according to above equation, $\begin{aligned} & 34 \mathrm{~g} \text { of } \mathrm{NH}_3 \text { requires }=6 \mathrm{~g} \text { of } \mathrm{H}_2 \\ & 1 \mathrm{~g} \text { of } \mathrm{NH}_3 \text { requires }=\frac{6}{34} \mathrm{~g} \text { of } \mathrm{H}_2 \\ & 100 \mathrm{~g} \text { of } \mathrm{NH}_3 \text { requires }=\frac{6}{34} \times 100\end{aligned}$ $=17.647 \approx 17.65 \mathrm{~g}$.

Asked in: AP EAMCET 2021 (24 Aug Shift 2)

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