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Question no. 58605

If the exponent n approaches infinity in a polytropic process pV^n = C, the process represents a constant_____________________?

Select your answer for: If the exponent n approaches infinity in a polytropic process pV^n = C, the process represents a constant_____________________?
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Answer: A. volume

Explanation

In a polytropic process, as the exponent n approaches infinity, it approximates a constant volume process. Mathematical limits of the polytropic equation yield an isometric process as n grows large. Pressure changes occur without any corresponding change in system volume. Polytropic processes are described by the equation pV to the power of n equals a constant. Different values of n represent common thermodynamic processes like isothermal and adiabatic. When n equals zero, the process becomes isobaric or constant pressure.

Analyzing closed system gas compression helps engineers predict cylinder pressure changes. Thermodynamic modeling uses polytropic exponents to represent real machine expansion curves. Understanding process limits ensures accurate calculation of work and heat transfers. Option B describes an isobaric process where the polytropic exponent n equals zero. Option C describes an isothermal process where the polytropic exponent n equals one. Option D refers to enthalpy which is a state property rather than a process constraint.

Subject
Engineering
Topic
—
Difficulty
medium

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