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A gas is taken throughthe cycle illustrated here. During one cycle, how much wor

ID: 1729139 • Letter: A

Question

A gas is taken throughthe cycle illustrated here. During one cycle, how much work is doneby an engine operating on this cycle? (Page Ref: Sec. 15.5)

Unable to upload graph, however, along the y-axis is labeled Pand 2P and then on the x-axis it is labeled from V to 4V. The cycle resembles a rectangle that starts at the line P (notstarting at origin of 0,0) and goes up to 2V andthen along the horizontal to 4V. Again, it is a rectangle so it isa complete cycle.

A gas is taken throughthe cycle illustrated here. During one cycle, how much work is doneby an engine operating on this cycle? (Page Ref: Sec. 15.5)

Unable to upload graph, however, along the y-axis is labeled Pand 2P and then on the x-axis it is labeled from V to 4V. The cycle resembles a rectangle that starts at the line P (notstarting at origin of 0,0) and goes up to 2V andthen along the horizontal to 4V. Again, it is a rectangle so it isa complete cycle.

PV 2PV 3PV 4PV

Explanation / Answer

work = area eclosed by the cycle in PV graph = (2P - P)*(4V - V) =3PV

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