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Which of the following relationship represents a polytropic process?Group of answer choices(PV)^n=CPV^n=CPV=C

Question

Which of the following relationship represents a polytropic process?

Group of answer choices:

  • (PV)^n = C
  • PV^n = C
  • PV = C
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Solution

The relationship that represents a polytropic process is (PV)^n = C.

Here's a step-by-step explanation:

  1. A polytropic process is a thermodynamic process that obeys the relation: (P*V)^n = C, where P is the pressure, V is the volume, n is the polytropic index, and C is a constant.

  2. The value of n determines the type of the process. For example, if n = 0, the process is isobaric (constant pressure); if n = 1, the process is isothermal (constant temperature); if n = ∞, the process is isochoric (constant volume).

  3. The other two options, PV^n = C and PV = C, do not represent a polytropic process. The first one is missing the pressure-volume product raised to the power n on the left side, and the second one is a simple pressure-volume relation, not a polytropic process.

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