Solveeit Logo
Login

Question

Question: The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 l...

The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 litres to 20 litres at 25o C is

A

2.303×298×0.082log⁡22.303 \times 298 \times 0.082\log 2

B

−298×107×8.31×2.303log⁡2- 298 \times 10^{7} \times 8.31 \times 2.303\log 2

C

2.303×298×0.082log⁡0.52.303 \times 298 \times 0.082\log 0.5

D

2.303×298×2log⁡22.303 \times 298 \times 2\log 2

Answer

−298×107×8.31×2.303log⁡2- 298 \times 10^{7} \times 8.31 \times 2.303\log 2

Explanation

Solution

w=−2.303nRTlog⁡V2V1=−2.303×1×8.31×107×298log⁡2010=−298×107×8.31×2.303log⁡2w = - 2.303nRT\log\frac{V_{2}}{V_{1}}\mathbf{= - 2.303 \times 1 \times 8.31 \times 1}\mathbf{0}^{\mathbf{7}}\mathbf{\times 298}\mathbf{\log}\frac{\mathbf{20}}{\mathbf{10}}\mathbf{=}\mathbf{-}\mathbf{298}\mathbf{\times}\mathbf{1}\mathbf{0}^{\mathbf{7}}\mathbf{\times}\mathbf{8.31}\mathbf{\times}\mathbf{2.303}\mathbf{\log}\mathbf{2}