The molar heat capacity of an ideal gas ( γ = 1.40 ) varies in a process as C = 18.0 + T 600 (J m o l − 1 K − 1 ). Find the work done by one mole when it is heated from 250 K to 600 K, in joules (ne

Question

The molar heat capacity of an ideal gas ( γ = 1.40 ) varies in a process as C = 18.0 + T 600 ​ (J m o l − 1 K − 1 ). Find the work done by one mole when it is heated from 250 K to 600 K, in joules (nearest integer, negative if the gas is compressed).

TestHub · Accepted Answer

C v ​ = γ − 1 R ​ = 20.79 . d W = ( C − C v ​ ) d T = ( − 2.79 + T 600 ​ ) d T . W = − 2.79 × 350 + 600 ln 250 600 ​ = − 449 J. (The process is not polytropic since C is not constant.)

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