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

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

TestHub · Accepted Answer

P = a/V + b. Work done on the gas (IUPAC sign, w = -∫ P dV) = -∫ V1 V 2 (a/V + b)dV = -aln(V 2 )/(V 1 ) - b(V 2 - V 1 ). This is (b).

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