Question

At what temperature in ${}^{\circ }C$ will the volume of gas which is originally at $1^{\circ }C$ will double itself at constant pressure.

• A. $2^{\circ }C$
• B. ${273}^{\circ }C$
• C. ${548}^{\circ }C$
• D. ${275}^{\circ }C$

Answer 1

The correct option is D ${275}^{\circ }C$

According to Charle's law, when the pressure of gas is kept constant, the volume of a gas is directly proportional to the temperature of the gas.
Or $\frac{V}{T}$ = constant

$1^{\circ }C=274K$

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

$\therefore$ $\frac{V_1}{2V_1}=\frac{274K}{T_2}$

$\therefore$ $T_2=548K={275}^{\circ }C$