Question

An ideal gas undergoes a thermodynamic process following the relation PT2 = constant. Assuming symbols have their usual meaning then volume expansion coefficient of the gas is equal to

• A. $\frac{2}{T}$
• B. $\frac{3}{T}$
• C. $\frac{1}{2T}$
• D. $\frac{1}{T}$

Answer 1

Answer: (B)

$\frac{3}{T}$

Answer 2

The correct answer is (B) : $\frac{3}{T}$
Volume expansion coefficient = $\frac{dV}{VdT}$
For PT2 = constant
Or $\frac{T^3}{V}$ = constant
Or $\frac{dV}{dT}=(C)3T^2$
Or $\frac{dV}{VdT}=\frac{3T^2}{T^3}$
$\frac{dV}{VdT}=\frac{3}{T}$