First slide

Thermodynamic processes

Question

In an adiabatic expansion of a gas initial and final temperatures are T₁ and T₂ respectively, then the change in internal energy of the gas is

Moderate

A

$\frac{R}{γ - 1} (T_{2} - T_{1})$
B

$\frac{R}{γ - 1} (T_{1} - T_{2})$
C

$R (T_{1} - T_{2})$
D

Zero

Solution

$ΔU = - ΔW = - \frac{R (T_{1} - T_{2})}{(γ - 1)} = \frac{R (T_{2} - T_{1})}{γ - 1}$

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