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Question

Question: The amount of work done in an adiabatic expansion from temperature T to \(T_{1}\) is...

The amount of work done in an adiabatic expansion from temperature T to T1T_{1} is

A

R(TT1)R(T - T_{1})

B

Rγ1(TT1)\frac{R}{\gamma - 1}(T - T_{1})

C

RT

D

R(TT1)(γ1)R(T - T_{1})(\gamma - 1)

Answer

Rγ1(TT1)\frac{R}{\gamma - 1}(T - T_{1})

Explanation

Solution

Wadi=Rγ1(TiTf)=Rγ1(TT1)W_{adi} = \frac{R}{\gamma - 1}(T_{i} - T_{f}) = \frac{R}{\gamma - 1}(T - T_{1})