Question

A sample of gas occupies 100 $mL$ at ${27}^{\circ }C$ and 740 $mm$ pressure. When its volume is changed to 80 $mL$ at 740 $mm$ pressure, the temperature of the gas will be :

• A. ${21.6}^{\circ }C$
• B. ${240}^{\circ }C$
• C. $-{33}^{\circ }C$
• D. ${89.5}^{\circ }C$

Answer 1

The correct option is C $-{33}^{\circ }C$

Given :

$V_1=100mL,T_1={27}^{\circ }C=300K.$

$P_1=740$

$V_2=80mL$, $T_2=?$

$P_2=740mm$

We know, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$\therefore T_2=\frac{V_2\times T_1}{V_1}=\frac{80\times 300}{100}=240K$

$T_2=-{33}^{\circ }C$

Therefore, the correct option is $C$