Question

If T represents the absolute temperature of an ideal gas, the volume coefficient of thermal expansion at constant pressure is proportional to:

• A. T
• B. T${}^2$
• C. 1/T
• D. 1/T${}^2$

Answer 1

The correct option is C 1/T

Coefficient of thermal expansion at constant pressure is:

$⟹{\alpha }_V=\frac{1}{V}\frac{dV}{dT}$

$PV=nRT$

$V=\frac{nRT}{P}$

${\alpha }_V=\frac{P}{nRT}\frac{dV}{dT}$

${\alpha }_V\to \frac{1}{T}$