Question

At ${27}^{0}C$ a gas is compressed to half of its volume.To what temperature it must now be heated at constant pressure so that gas occupies just its original volume?

• A. ${54}^{0}C$
• B. ${600}^{0}C$
• C. ${327}^{0}C$
• D. $327K$

Answer 1

Answer: (C)

${327}^{0}C$

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$V_2=V$

$V_1=\frac{V}{2}$

$T_1={27}^{\circ }C=(273+27)=300K$

$T_2=\frac{V_2}{V_1}\times T_1$

$=\frac{V}{\frac{V}{2}}\times 300$

$\therefore T_2=600K$

$\Rightarrow T_2=(600-273)=327C$