(a) Determine the work done by the gas over each step of the process: A → B, B → C, .. (b) Determine the work done by the gas over the entire process, A → B → C → D→ A. (c) Over one loop of the process, did the gas do work or was work done on the gas?

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It can be shown that the work done by a gas expanding through a change of volume dV at pressure p is
given by
w - [ pav
dW = p dV
W =
AP
dW = p dV pV = nRT
AU = nCyAT W = [p dV pV = NkT
dU = dQ – dW
dU = nCydT
AU = Q – W
%3D
IP
IP
IP
P
P
SP
3P
4P
B
3P.
Pa
Pg
Pa
Va
4Ve
Vo
Vo
Vo
3Vo
Vo
2Vo
Isobaric Process
Isochoric Process
Isothermal Process
A Square Process
A Triangle Process
Assume that in the following problems the gas is ideal and monatomic (one atom), for which Cy = R.
8. See the figure of the square process.
(a) Determine the work done by the gas over each step of the process: A → B, B → C, ..
(b) Determine the work done by the gas over the entire process, A → B → C → D → A.
(c) Over one loop of the process, did the gas do work or was work done on the gas?
(d) Given that heat engines do work, and that work must be done on refrigerators, is this process a
heat engine or a refrigerator?
(e) What is AU for a complete loop A → A of the process?
(f) Determine the heat transferred to/from the gas for a complete cycle A → A.
Transcribed Image Text:It can be shown that the work done by a gas expanding through a change of volume dV at pressure p is given by w - [ pav dW = p dV W = AP dW = p dV pV = nRT AU = nCyAT W = [p dV pV = NkT dU = dQ – dW dU = nCydT AU = Q – W %3D IP IP IP P P SP 3P 4P B 3P. Pa Pg Pa Va 4Ve Vo Vo Vo 3Vo Vo 2Vo Isobaric Process Isochoric Process Isothermal Process A Square Process A Triangle Process Assume that in the following problems the gas is ideal and monatomic (one atom), for which Cy = R. 8. See the figure of the square process. (a) Determine the work done by the gas over each step of the process: A → B, B → C, .. (b) Determine the work done by the gas over the entire process, A → B → C → D → A. (c) Over one loop of the process, did the gas do work or was work done on the gas? (d) Given that heat engines do work, and that work must be done on refrigerators, is this process a heat engine or a refrigerator? (e) What is AU for a complete loop A → A of the process? (f) Determine the heat transferred to/from the gas for a complete cycle A → A.
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