CLOSED system. In closed system work DONE by the system in a POLYTROPIC process (PVn = constant) is given by,\({W_{1 - 3}} = \frac{{{P_1}\; \times \;{V_1} - \;{P_3} \;\times \;{V_3}}}{{n - 1}}\)Calculation:Given P1 = 100 kPa, V1 = 0.1 m3, P2 = 37.9 kPa, V2 = 0.2 m3, P3 = 14.4 kPa, V3 = 0.4 m3;Work done during process from 1 to 3\({W_{1 - 3}} = \;\frac{{{P_1}\; \times \;{V_1} - \;{P_3}\; \times \;{V_3}}}{{n - 1}}\)\({W_{1 - 3}} = \frac{{100\; \times \;0.1 - 14.4\; \times\;0.4}}{{1.4 - 1}} = 10.6\;kJ\)

"> CLOSED system. In closed system work DONE by the system in a POLYTROPIC process (PVn = constant) is given by,\({W_{1 - 3}} = \frac{{{P_1}\; \times \;{V_1} - \;{P_3} \;\times \;{V_3}}}{{n - 1}}\)Calculation:Given P1 = 100 kPa, V1 = 0.1 m3, P2 = 37.9 kPa, V2 = 0.2 m3, P3 = 14.4 kPa, V3 = 0.4 m3;Work done during process from 1 to 3\({W_{1 - 3}} = \;\frac{{{P_1}\; \times \;{V_1} - \;{P_3}\; \times \;{V_3}}}{{n - 1}}\)\({W_{1 - 3}} = \frac{{100\; \times \;0.1 - 14.4\; \times\;0.4}}{{1.4 - 1}} = 10.6\;kJ\)

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A piston-cylinder device with air at an initial temperature of 30°C undergoes an expansion process for which pressure and volume are related as given below:p (kPa)10037.914.4V (m3)0.10.20.4The work done by the system for n = 1.4 will be

Fluid Mechanics First Law Thermodynamics in Fluid Mechanics 7 months ago

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Concept:Given device is piston-cylinder, hence it is CLOSED system. In closed system work DONE by the system in a POLYTROPIC process (PVn = constant) is given by,\({W_{1 - 3}} = \frac{{{P_1}\; \times \;{V_1} - \;{P_3} \;\times \;{V_3}}}{{n - 1}}\)Calculation:Given P1 = 100 kPa, V1 = 0.1 m3, P2 = 37.9 kPa, V2 = 0.2 m3, P3 = 14.4 kPa, V3 = 0.4 m3;Work done during process from 1 to 3\({W_{1 - 3}} = \;\frac{{{P_1}\; \times \;{V_1} - \;{P_3}\; \times \;{V_3}}}{{n - 1}}\)\({W_{1 - 3}} = \frac{{100\; \times \;0.1 - 14.4\; \times\;0.4}}{{1.4 - 1}} = 10.6\;kJ\)

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Posted on 26 Nov 2024, this text provides information on Fluid Mechanics related to First Law Thermodynamics in Fluid Mechanics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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