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Work Done

Two moles of ...

Question

Two moles of an ideal gas are allowed to expand from a volume of $10 d m^{3} t o 2 m^{3}$ at 300 K against a pressure of 101.325 kPa. Calculate the work done.

-201.6 kJ

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13.22 kJ

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-810.6 J

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-18.96 kJ

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Solution

The correct option is A -201.6 kJ
Given: $V_{1} = 10 d m^{3} = 0.01 m^{3} V_{2} = 2 m^{3} P = 101.325 k P a$
work done at constant pressure $= - P d V = - 101.325 (2 - 0.01) = - 101.325 (1.99) = - 201.636 k J$

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