Answered: Complete Analysis of Heat Engine Goal…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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 7.0 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).

	Pressure	Volume	Temperature
a
b
c

(2) Fill in the Process Table (all entries in Joules).

	Work	Heat	dU
a->b
b->c
c->a

(3) Find the Totals:

Work =	J
Heat =	J
dU =	J

(4) Find the heat input (from "hot reservoir") and the heat output (to "cold reservoir"):

Q-hot =	J
Q-cold =	J

(5) Find the efficiency of the engine:

efficiency =

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
с
Pressure
a->b
b->c
c->a
Work
Work =
Heat =
dU =
Q-hot =
Q-cold
=
efficiency =
Volume
Heat
J
J
J
%
Temperature
du

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