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An ideal gas undergoes the cycle shown in the figure below: it expands isobarically at pressure p from volume V to volume XV, cools
isometrically, and then returns isothermally to its initial state.
2→ 3
i
3 →→ 1
V
XV
a) Derive the following expressions for the heat flowing in or out of the system in terms of X, p and V.
1 → 2
Q12 = PV(x - 1)
Q23 = CPV (1-X)
isothermal
Q31
=
3
-pV log X
R
log
b) Hence derive that the efficiency is e= (1 - 101)
X-1

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