Question

The volume thermal expansion coefficient of an ideal gas at constant pressure is

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

Answer 1

The correct option is C $\frac{1}{T}$

We know $PV=nRT$ of $\frac{1}{T}=\frac{nR}{PV}$

since P is constant

$P\Delta V=nR\Delta T$

or $\frac{\Delta V}{\Delta T}=\frac{nR}{P}$.....(2)

volume thermal expansion coefficient=${\alpha }_v=\frac{\Delta V}{V\Delta T}$

from equation 1....${\alpha }_v=\frac{nR}{PV}=\frac{1}{T}$,