Question

An LPG (Liquefied Petroleum Gas) cylinder weighs 15.0 kg when empty. When full, it weighs 30.0 kg and shows a pressure of 3.0 atm. In the course of usage at $27^\circ$C, the mass of the full cylinder is reduced to 24.2 kg. The volume of the used gas in the normal usage condition (1 atm and $27^\circ$C) is (assume LPG to be normal butane and it behaves ideally):

• A. $24.6 \text{ m}^3$
• B. $246 \text{ m}^3$
• C. $0.246 \text{ m}^3$
• D. $2.46 \text{ m}^3$

Hint:

For ideal gas problems: \begin{itemize} \item First convert mass $\rightarrow$ moles \item Use $PV = nRT$ directly at required conditions \item Same temperature simplifies calculations \end{itemize}

Answer 1

The Correct Option is D