A gas expands in a piston cylinder device from V 1 to V 2 , the process being described by PV = aV 2 + b, where P is in Nm -2 , V is in m 3 and a and b are constants. The work done by the gas in the process is

P = aV + b/V. Work done by the gas = ∫ V1 V 2 P dV = a(V 2 2 - V 1 2 )/2 + bln(V 2 )/(V 1 ). This is (a).

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A gas expands in a piston cylinder device from V₁ to V₂, the process being described by PV = aV² + b, where P is in Nm^-2, V is in m³ and a and b are constants. The work done by the gas in the process is

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Solution:

P = aV + b/V. Work done by the gas = ∫_V1^V₂P dV = a(V₂² - V₁²)/2 + bln(V₂)/(V₁). This is (a).

Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Work

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