Question

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

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

Answer 1

Answer: (C)

$T^{-1}$

Answer 2

For $n$ moles of ideal gas $PV = nRT$
For constant pressure $PdV = nRdT$
$d V = \left( \frac{nR}{P} \right) dT = \left( \frac{V}{T} \right) dT$ ...(i)
If $\gamma$ be the coefficient of volume expansion
$dV = \gamma \, V \,dT$ ...(ii)
From (i) and (ii) $\gamma = T^{-1}$