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Work done in Isothermal Irreversible Process

calculate the...

Question

calculate the work done in joule when 3 moles of an ideal gas expand isothermally and reversibly
from 10 atm to 1 atm. what will be the work done if the expansion is against constant pressure of 1atm.

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Solution

Work done for isothermal reversible expansion:
w = nRT ln (p₁/ p₂)
= 3 mol $\times$ 8.314 JK^-1mol^-1 $\times$ 273 K ln (1/10)
= -15678.684 J

Work done against constant pressure, w = -nRT ln(V₂/V₁)

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