Complete Analysis of Heat Engine Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 2.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): (5) Find the efficiency of the engine: a b C Pressure a->b b->c c->a Work Work = Heat = dU = Q-hot = Q-cold = efficiency = P T₁ Volume P₁ = 100,000 Pa Engine Cycle Heat J J J = 300 K J J % isothermal du с Temperature V

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Complete Analysis of Heat Engine
Goal Solve for the efficiency of a heat engine using a five-step process the
includes:
1. Making a state table.
2. Making a process table.
3. Calculating the totals for Work, Heat, and Internal-Energy-Change.
4. Identifying the heat input (hot reservoir) and output (cold reservoir).
5. Calculating the efficiency of the engine.
Problem Shown in the figure to the right is a cyclic process undergone by
a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas
(diatomic). During the process a->b, the pressure rises by a factor of 2.0.
Solution
(1) Fill in the State Table (all pressures in Pascals, all
volumes in cubic meters, all temperatures in K).
(2) Fill in the Process Table (all entries in Joules).
(3) Find the Totals:
(4) Find the heat input (from "hot reservoir") and
the heat output (to "cold reservoir"):
(5) Find the efficiency of the engine:
a
b
C
Pressure
a->b
b->c
c->a
Work
Work
Heat =
dU =
Q-hot =
Q-cold =
efficiency:
P
Volume
Heat
T₂ = 300 K
P₁ = 100,000 Pa
Engine Cycle
J
J
J
b
J
J
a
%
isothermal
Temperature
du
Transcribed Image Text:Complete Analysis of Heat Engine Goal Solve for the efficiency of a heat engine using a five-step process the includes: 1. Making a state table. 2. Making a process table. 3. Calculating the totals for Work, Heat, and Internal-Energy-Change. 4. Identifying the heat input (hot reservoir) and output (cold reservoir). 5. Calculating the efficiency of the engine. Problem Shown in the figure to the right is a cyclic process undergone by a heat engine. Your heat engine shall use 9.0 moles of nitrogen gas (diatomic). During the process a->b, the pressure rises by a factor of 2.0. Solution (1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). (2) Fill in the Process Table (all entries in Joules). (3) Find the Totals: (4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"): (5) Find the efficiency of the engine: a b C Pressure a->b b->c c->a Work Work Heat = dU = Q-hot = Q-cold = efficiency: P Volume Heat T₂ = 300 K P₁ = 100,000 Pa Engine Cycle J J J b J J a % isothermal Temperature du
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(4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir")

**The answer above for Q-cold (78567.6 J) is incorrect**

 

Also part c of the table is not complete. Missing part c

(1) Fill in the State Table (all pressures in Pascals, all
volumes in cubic meters, all temperatures in K).
a
C
Pressure
100000
200000
Volume
0.22448
0.22448
Temperature
300
600
Transcribed Image Text:(1) Fill in the State Table (all pressures in Pascals, all volumes in cubic meters, all temperatures in K). a C Pressure 100000 200000 Volume 0.22448 0.22448 Temperature 300 600
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