Question

At constant pressure, a sample of helium gas has a volume of 800 ml at ${27}^{o}C$. What is the increase in volume, when temperature of gas increases to ${47}^{o}C$?

• A. 853.3 ml
• B. 800 ml
• C. 53.3 ml
• D. 700 ml

Answer 1

The correct option is C 53.3 ml

$T_1={47}^{o}C=47+273=320K$

$V_1\propto T;$

$\frac{V}{V_1}=\frac{T}{T_1}$

$\frac{800}{V_1}=\frac{300}{320}$

$V_1=\frac{800\times 320}{300}=\frac{2560}{3}=853.3ml$

Increase in volume $=853.3-800=53.3ml$

Hence, option$\left(C\right)$ is correct.