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Example: An ideal gas is taken through the 3 step process shown below in the PV

ID: 1579071 • Letter: E

Question

Example: An ideal gas is taken through the 3 step process shown below in the PV diagram. point A with an initial pressure P,-300,000 Pa and an initial volume V1 10 Liters. a) Determine the work done as the pressure P2 900,000 Pa. The gas starts at pressure of the gas is raised at constant volume from P, to point B witha b) Determine the work as the volume of the gas is raised from point B to point C with a volume V2-40 liters Is the gas doing work or is work being done on the gas during this process. Explain your choice. c) Determine the work as the volume of the gas is moved from point C to point A. Is the gas doing work or is work being done on the gas during this process. Explain your choice d) Determine the work done by the entire cycle for this gas e) Can you determine anything about the values of U and Q for the entire cycle?

Explanation / Answer

(a)

W= P del V

= 300000 Pa (0)

= 0 J

(b)

W= P 2 ( V2- V1)

= 900000( 40 * 10^-3 - 10 * 10^-3)

=27000 J

work done by the gas

(c)

area under curve

W = 0.5 ( P2-P1) ( V2- V1) + P1 ( V2-V1)

= 0.5 ( 600000(30* 10^-3) +300000( 30* 10^-3)

=9000+9000

= 18000 J

work done by the gas

(d)

Wnet = 0+27000+18000 =45000 J

As per chegg guide lines I did first four subparts kindly post remaining questions in the next post

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