One mole of a monatomic gas (y 5/3) undergoes the following cycle: (i) It is expanded isothermally from Vi to 3V1. (ii) Its pressure is decreased from p2 to pa at constant volume 3V1. (iii) It is compressed adiabatically back to its initial state.

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One mole of a monatomic gas (y
undergoes the following cycle:
= 5/3)
a) Find p2 and p3 in terms of p1, V1, and y.
(i) It is expanded isothermally from Vi to
3V1.
(ii) Its pressure is decreased from p2 to p3 at
constant volume 3V1.
(iii) It is compressed adiabatically back to its
initial state.
b) Find T1, T2, and T3 in terms of p1, V1, and y.
c) What is the direction of heat flow in step (i)
(into or out of the gas) ? How about steps (ii)
and (iii) ?
d) Find the amount of heat flow into or out of the
gas during step (i), in terms of pi, V1, and y.
Then do likewise for step (ii).
Pi
e) Is the net work done by the gas during a
complete cycle positive or negative? Explain.
Is the net heat added to the gas during a
complete cycle positive or negative? Explain.
P2
ii
iii
P3
3
) Do you think this cycle represents a heat
engine or a refrigerator? Why? *
V
v,
3V,
Transcribed Image Text:One mole of a monatomic gas (y undergoes the following cycle: = 5/3) a) Find p2 and p3 in terms of p1, V1, and y. (i) It is expanded isothermally from Vi to 3V1. (ii) Its pressure is decreased from p2 to p3 at constant volume 3V1. (iii) It is compressed adiabatically back to its initial state. b) Find T1, T2, and T3 in terms of p1, V1, and y. c) What is the direction of heat flow in step (i) (into or out of the gas) ? How about steps (ii) and (iii) ? d) Find the amount of heat flow into or out of the gas during step (i), in terms of pi, V1, and y. Then do likewise for step (ii). Pi e) Is the net work done by the gas during a complete cycle positive or negative? Explain. Is the net heat added to the gas during a complete cycle positive or negative? Explain. P2 ii iii P3 3 ) Do you think this cycle represents a heat engine or a refrigerator? Why? * V v, 3V,
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