KCET · Chemistry · States of Matter

The volume of \(2.8 \mathrm{~g}\) of \(\mathrm{CO}\) at \(27^{\circ} \mathrm{C}\) and 0.821 atm pressure is
\[
\left(R=0.08210 \text { L. atm K }{ }^{-1} \mathrm{~mol}^{-1}\right)
\]

A 1.5 litres
B 3 litres
C 30 litres
D 0.3 litres

Verified Solution

Answer & Solution

Correct Answer

(B) 3 litres

Step-by-step Solution

Detailed explanation

Given, amount of \(\mathrm{CO}=2.8 \mathrm{~g}\)
Temperature \(=27^{\circ} \mathrm{C}\)
Pressure \(=0.821 \mathrm{~atm}\)
\(R=0.08210 \mathrm{~L} \mathrm{~atm} \mathrm{~K}{ }^{-1} \mathrm{~mol}^{-1}\)
We know that, \(p V=R T\)
\(\therefore \quad V=\frac{R T}{p}=\frac{0.0821 \times 300}{0.821}=30 \mathrm{~L}\)
\(\therefore 28 \mathrm{~g}\) of CO occupy volume \(30 \mathrm{~L}\)
\(\therefore 2.8 \mathrm{~g}\) of CO occupy volume \(=\frac{30 \times 2.8}{28}=3 \mathrm{~L}\)

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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The volume of \(2.8 \mathrm{~g}\) of \(\mathrm{CO}\) at \(27^{\circ} \mathrm{C}\) and 0.821 atm pressure is\[\left(R=0.08210 \text { L. atm K }{ }^{-1} \mathrm{~mol}^{-1}\right)\]

Step-by-step Solution

The volume of \(2.8 \mathrm{~g}\) of \(\mathrm{CO}\) at \(27^{\circ} \mathrm{C}\) and 0.821 atm pressure is
\[
\left(R=0.08210 \text { L. atm K }{ }^{-1} \mathrm{~mol}^{-1}\right)
\]