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Question

Chemistry Question on Spontaneity

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

A

2.303 ×298 ×0.082log2

B

298 ×107 ×8.31 ×2.303log2

C

2.303 ×298 × 0.082log0.5

D

2.303×298×2log2

Answer

298 ×107 ×8.31 ×2.303log2

Explanation

Solution

W2.303nRTlog=V2V1W 2.303\, nRT\,log=\frac{V_{2}}{V_{1}}
=2.303×1×8.314×107×298log2010=2.303\times1\times8.314\times10^{7}\times298\,log \frac{20}{10}
=298×107×8.31×2.303log2=298\times10^{7}\times8.31\times2.303\,log\,2