Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 3.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 3.0.
$$T_a = 300 K$$
$$P_a = 100,000 Pa$$
Engine Cycle
Solution
(1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K).
Pressure
a 100,000
b 300,000
c 100,000
Volume
0.0748
0.0748
0.2245
Temperature
300
900
900
Work
a->b 0
(2) Fill in the Process Table (all entries in Joules).
Heat
37,413
dU
37,413
b->c
0
c->a
-37,413
(3) Find the Totals:
Work =
Heat =
dU = 0
(4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"):
Q-hot =
Q-cold =
(5) Find the efficiency of the engine:
efficiency =
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