Question

A sample of gas at ${35}^{o}C$ & 1 atm pressure occupies a volume of 3.75litres. At what temp. should the gas be kept if it is required to reduce the volume to 3 litres at the same pressure:

• A. $-{26.6}^{o}C$
• B. $0^{o}C$
• C. $+{33.98}^{o}C$
• D. $+{26}^{o}CC$

Answer 1

The correct option is A $-{26.6}^{o}C$

$V\propto T$

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

$T_2=\frac{3}{3.75}\times 308$

$\Rightarrow 246.4K=T_2=-{26.6}^{o}C$.

Hence, the correct option is $\text{A}$