ThermodynamicsMedium

Question

Five moles of an ideal gas expand isothermally and reversibly from an initial pressure of 100 atm to a final pressure of 1 atm at 27°C. The work done by the gas is (ln100 = 4.6)

Options

A.2760 cal
B.6000 cal
C.0
D.13,800 cal

Solution

$w = - nRT\ln\frac{P_{1}}{P_{2}} = - 5 \times 2 \times 300 \times \ln\frac{100}{1} = - 13800\text{ cal}$

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