MHT CET · Chemistry · States of Matter

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

A \(2.24\)
B \(22.4\)
C \(56.0\)
D \(67.2\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(67.2\)

Step-by-step Solution

Detailed explanation

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

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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