What is the volume in $\mathrm{dm}^3$ occupied by $3 \mathrm{~mol}$ of ammonia gas at STP?

What is the volume in $\mathrm{dm}^3$ occupied by $3 \mathrm{~mol}$ of ammonia gas at STP?
  1. $2.24$
  2. $22.4$
  3. $56.0$
  4. $67.2$

Solution

$\begin{aligned} & \text { Number of moles of a gas }(\mathrm{n}) \\ & \quad=\frac{\text { Volume of a gas at STP }}{\text { Molar volume of a gas }} \\ & \therefore \quad \text { Volume of ammonia gas at STP } \\ & =\text { Number of moles of the gas }(\mathrm{n}) \\ & \quad \times \text { Molar volume of the gas } \\ & =3 \mathrm{~mol} \times 22.4 \mathrm{dm}^3 \mathrm{~mol}^{-1} \\ & =67.2 \mathrm{dm}^3\end{aligned}$

Asked in: MHT CET 2023 (11 May Shift 1)

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