One mole of a monoatomic ideal gas is taken through the following cycle. A rever
ID: 2253526 • Letter: O
Question
One mole of a monoatomic ideal gas is taken through the following cycle. A reversible
isothermal expansion from a volume of 10 liters to a volume of 50 liters. An isobaric compression
at 1 atm followed by an isochoric compression that returns it to the initial state.
(a) Draw the pV diagram.
(b) Calculate the net work done by the gas. (4087.6J)
(c) What is the heat added to the gas? (14188J)
(d) What is the heat expelled by the gas? (-10100J)
(e) What is the efficiency of the cycle? (28.8%)
The answers are given, but I cannot figure out how to do parts C-E. Any help would be appreciated.
Explanation / Answer
the work done is
W = P x dV
where P is pressure and dV = (50 - 10) liters = 40 liters = 40 x 10^-3 m^3
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