Problem

Using Energy Concepts and the Ideal Gas Model Air undergoes a polytropic process...

Using Energy Concepts and the Ideal Gas Model

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 = 295 K to p2 = 7 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.6, determine the work and heat transfer, each in kJ per kg of air,

(a) assuming constant cv evaluated at 300 K.

(b) assuming variable specific heats.

Using IT, plot the work and heat transfer per unit mass of air for polytropic exponents ranging from 1.0 to 1.6. Investigate the error in the heat transfer introduced by assuming constant cv.

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