MHT CET · Chemistry · States of Matter

A certain mass of a gas occupies volume of \(250 \mathrm{~mL}\) at \(2 \mathrm{~atm}\). Pressure. Calculate the volume of gas if pressure is increased to \(2.5 \mathrm{~atm}\) at constant temperature.

A 352.0 mL
B 300.0 mL
C 200 mL
D 443.0 mL

Verified Solution

Answer & Solution

Correct Answer

(C) 200 mL

Step-by-step Solution

Detailed explanation

\(\begin{aligned}
& \mathrm{P}_1 \mathrm{~V}_1=\mathrm{P}_2 \mathrm{~V}_2 \\
& 2 \times 250=2.50 \times \mathrm{V}_2(\mathrm{~m} \ell) \\
& \mathrm{V}_2=\frac{2 \times 250}{2.5} \\
& =200 \mathrm{~m} \ell
\end{aligned}\)
\(\begin{aligned} & \mathrm{P}_1 \mathrm{~V}_1=\mathrm{P}_2 \mathrm{~V}_2 \\ & 2 \times 250=2.50 \times \mathrm{V}_2(\mathrm{~m} \ell) \\ & \mathrm{V}_2=\frac{2 \times 250}{2.5} \\ & =200 \mathrm{~m} \ell\end{aligned}\)

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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