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Question

The work done in erg for the reversible expansion of 1 mole of an ideal gas from a volume of 10 litres to 20 litres at 25oC is

A
2.303×298×0.082 log 2
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B
298×107×8.314×2.303 log 2
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C
2.303×298×0.082 log 0.5
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D
2.303×298×2 log 2
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Solution

The correct option is B 298×107×8.314×2.303 log 2
for isothermal process,
Wrev=2.303 nRT logV2V1
=2.303×1×0.0821×298 log 2010
=2.303×0.0821×298×log 2 L atm
or Wrev=2.303×8.314×298×log 2 J
=2.303×8.314×107×298×log 2 erg

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