Question

For a perfect gas, the ratio of volume coefficient of expansion to pressure coefficient is :

• A. equal to one
• B. less than one
• C. more than one
• D. an imaginary quantity

Answer 1

The correct option is A equal to one

For a perfect gas $PV=nRT$

where $P$ is pressure, $V$ is volume, $n$ is no. of moles, $R$ is universal gas constant and $T$ is temperature

Volume expansion coefficient at constant pressure $=\frac{1}{V}({\frac{\partial V}{\partial T})}_P=\frac{nR}{PV}$

Pressure coefficient at constant volume$=\frac{1}{P}({\frac{\partial P}{\partial T})}_V=\frac{nR}{PV}$

The ratio of above two quantities is equal to one

option (A) is the correct answer