Q. The volume of a gas at $20℃$ is $100\ cm^{3}$ at normal pressure. If it is heated to $100℃,$ its volume becomes $125\ cm^{3}$ at the same pressure, then volume coefficient of the gas at normal pressure is
A) $0.0015/℃$
B) $0.0045/℃$
C) $0.0025/℃$
D) $0.0033/℃$
Explanation
(d) $\frac{V_{1}}{V_{2}} = \frac{1 + \gamma t_{1}}{1 + \gamma t_{2}} \Rightarrow \frac{100}{125} = \frac{1 + \gamma \times 20}{1 + \gamma \times 100}$
$\Rightarrow \gamma = 0.0033/℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.