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Chapter 21: Q. 16 (page 595)

How much heat is exhausted to the cold reservoir by the heat engine shown in FIGUREEX21.16?


Short Answer

Expert verified

The heat exhausted to the cold reservoir by heat engine,Qc=285J.

Step by step solution

01

Step: 1 Definition of heat transfer in cold reservoirs:

(a) Heat moves spontaneously from a hot to a cold item, according to the second rule of thermodynamics.

(b) A heat engine, shown as a circle, operates by utilising some of the heat transmission. The hot and cold things are the heat and cold reservoirs.

02

Step: 2 Finding the value of Qh:

We can find the lost heat as

Qh=W+Qc鈬�Qc=Qh鈭�W

Heat taken from the heat reservoir,Qh,will be equal tothe sum of the heat taken in the two processes.That is,

Qh=90+225=315J.

03

Step: 3 Finding the value of Qc:

The work finish on the gas will be same to the space encircled by the graph. Since this is the triangle, we have

W=12鈰�(300鈭�100)鈰�103鈰�(600鈭�300)鈰�10鈭�6W=30J.

Finally, the heat lost to the cold reservoir is

Qc=315鈭�30Qc=285J.

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Most popular questions from this chapter

The ideal gas in a Carnot engine extracts 1000Jof heat energy during the isothermal expansion at 300掳C. How much heat energy is exhausted during the isothermal compression at50掳C?

Rank in order, from largest to smallest, the thermal efficiencies 畏1to 畏4of the four heat engines in FIGURE Q21.5. Explain.

What are (a) WoutandQHand (b) the thermal efficiency for the heat engine shown in FIGUREEX21.14?

FIGURE P21.35 shows a heat engine going through one cycle. The gas is diatomic. The masses are such that when the pin is removed, in steps 3and 6, the piston does not move.

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a. Determine Q2,Q3and Q4.

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