Question

Find the amount of work done to increase the temperature of one mole of ideal gas by 30ŗC, if it is expanding under the condition V µ T^2/3(R = 8.31 J/mol-K) –

• A. 16.62 J
• B. 166.2 J
• C. 1662 J
• D. 1.662 J

Answer 1

Answer: (B)

166.2 J

Answer 2

DW = $\int_{}^{}{PdV}$ = $\int_{}^{}{\frac{RT}{V}dV}$

Ž V = CT^2/3 Ž $\frac{dV}{V}$ = $\frac{2}{3}\frac{dT}{T}$

Ž DW = $\frac{2}{3}$R$\int_{T_{1}}^{T_{2}}{\frac{dT}{T} \times T}$ = $\frac{2}{3}$R(T₂ – T₁) = 166.2J