A piston-cylinder device contains 0.900 kg of nitrogen, initially at 100 kPa and 27 C. The...

Question:

A piston-cylinder device contains 0.900 kg of nitrogen, initially at 100 kPa and at 27{eq}^{\circ} {/eq} C. The nitrogen is compressed in a polytropic process, exponent n = 1.29, until the volume is reduced to half the initial volume. Determine W and Q for this process.

Politropic Work

Politropic work is the result of a thermodynamic process of expansion or compression of gases characterized by the transfer of heat at variable pressure and temperature. In general, a polytropic process fulfills the following relationship:

{eq}P{V^n}{\rm{ }} = {\rm{ }}C {/eq}

Where P is the pressure, V is the volume, n is the polytropic exponent and C is a constant.

Answer and Explanation:


Control mass: the nitrogen inside the piston cylinder.

{eq}\matrix{ {Given} \hfill \cr {m{\rm{ }} = {\rm{ }}0.900{\rm{ }}\,kg} \hfill \cr {{P_1}...

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First Law of Thermodynamics: Law of Conservation of Energy

from CLEP Natural Sciences: Study Guide & Test Prep

Chapter 3 / Lesson 3
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