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The PV diagram for a 3-stage heat engine is shown below. The engine starts at po

ID: 1384874 • Letter: T

Question

The PV diagram for a 3-stage heat engine is shown below. The engine starts at point A, then to B, then C, then back to A to complete a cylcle. The units are on the axis, so keep an eye for those.

a. How much work does the engine to in one cycle?

b. If the engine goes through the cycle 156 times each second, what is the output power of the engine?

c. During which of the 3 legs is the internal energy of the gas changing? (May be more than 1).

d. During which of the 3 legs is heat coming in to or leaving the system? (May be more than 1). e. During which of the 3 legs is work being done either by or on the gas? (May be more than one.)

6 a 500 -400 600 300 200 5 10 15 volume (mL)

Explanation / Answer

WorK done W = P dV   or area under triangle

so

where P is pressure and dV is the change of Volume

so

part A: in one cycle, Wnet = Wab +WAc + Wac

Wnet =   0 + (300 * 15-5)    +


Wnet = 0.5 * (15-5) * 200* 1000

Wnet = 1e 6 Jouels

--------------------------------

Power = W.t

P = 1 e6 /156

P = 6410 Watts

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during AB and BC internal eenrgy is more than 1

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