Question

A certain mass of gas occupies a volume of $2$ litre at STP keeping the pressure constant. At what temperature would the gas occupy a volume of $4$ litre?

• A. $50^{\circ} C$
• B. $100^{\circ}C$
• C. $273^{\circ}C$
• D. $546^{\circ}C$

Answer 1

Answer: (C)

$273^{\circ}C$

Answer 2

Acc. to Charles law, $V \propto t$ $\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$ $\frac{2}{273}=\frac{4}{T_{2}}$ $T_{2}=\frac{4 \times 273}{2}$ $T_{2}=546\, K$ or $T_{2}=546-273$ $T_{2}=273^{\circ} C$