A piston-cylinder arrangement contains air with a mass of 1.2 kg. At the initial state (state 1), the temperature and volume of air are 50 °C (T:) and 1 m³ (V.), respectively. Air is expanded in the piston- cylinder arrangement by a polytropic process to an intermediate state (state 2). At state 2, the temperature and volume of air are 70o °C (T2) and 1.5 m (V,), respectively. The polytropic expansion continues (with the same polytropic exponent) to state 3. At state 3, the pressure of air is 50 kPa (P3). From state 3, air is compressed by an isothermal process (T, = TA) to the volume of state 1 (V4 = V1). Treat air as an ideal gas. (a) Determine the pressure at state 2 (P2) and the polytropic exponent (n) for polytropic expansion from state 1 to state 2. (b) Determine the volume (V3) and temperature (T3) at state 3. (c) Determine the pressure (Pa) at state 4. (d) Determine the total boundary work from state 1 to state 4 (1Wa). (e) Draw the processes from state 1 to state 4 on a P-V (pressure-volume) diagram. Label the pressure and volume values corresponding to each state point and draw the lines of constant temperature for state 1, state 3 and state 4. Indicate the area that represents the net-work from the processes.

A piston-cylinder arrangement contains air with a mass of 1.2 kg. At the initial state (state 1), the temperature and volume of air are 50 °C (T:) and 1 m³ (V.), respectively. Air is expanded in the piston- cylinder arrangement by a polytropic process to an intermediate state (state 2). At state 2, the temperature and volume of air are 70o °C (T2) and 1.5 m (V,), respectively. The polytropic expansion continues (with the same polytropic exponent) to state 3. At state 3, the pressure of air is 50 kPa (P3). From state 3, air is compressed by an isothermal process (T, = TA) to the volume of state 1 (V4 = V1). Treat air as an ideal gas. (a) Determine the pressure at state 2 (P2) and the polytropic exponent (n) for polytropic expansion from state 1 to state 2. (b) Determine the volume (V3) and temperature (T3) at state 3. (c) Determine the pressure (Pa) at state 4. (d) Determine the total boundary work from state 1 to state 4 (1Wa). (e) Draw the processes from state 1 to state 4 on a P-V (pressure-volume) diagram. Label the pressure and volume values corresponding to each state point and draw the lines of constant temperature for state 1, state 3 and state 4. Indicate the area that represents the net-work from the processes.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 21.51AP: A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always...

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