In Problems 65through 68you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem.

4.0=QC/Win

QH=100J

Short Answer

Expert verified

a. The coefficient is 4.0and heat is 100J.Work done is needed.

b. The value of work done20J.

Step by step solution

01

Explanation (part a)

a.

"The environment received 100Jof heat from a refrigerator with a performance coefficient of 4.0.

Look for the work that has been done to the system."

02

Problem with solution (part b)

b.

The relationship between work and heat emitted from the cold reservoir can be established using the first supplied equation as follows:

4.0=QcWin

Qc=4Win

We have come a long way since the first refrigerator law was enacted.

Qh=Win+Qc

=Win+4Win

=5Win

The work input is,

role="math" localid="1650280024693" Win=Qh5

role="math" localid="1650280033690" =100J5

=20J

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Most popular questions from this chapter

In Problems 65through 68you are given the equation(s) used to solve a problem. For each of these, you are to

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem.

0.20=1-QC/QH

Wout=QH-QC=20J

A car’s internal combustion engine can be modeled as a heat engine operating between a combustion temperature of 1500oC and an air temperature of 20oC with 30% of the Carnot efficiency. The heat of combustion of gasoline is 47kJ/g. What mass of gasoline is burned to accelerate a 1500kgcar from rest to a speed of 30 m/s?

A typical coal-fired power plant burns 300metric tons of coal every hour to generate 750MWof electricity. 1metric ton = 1000kg. The density of coal is 1500 kg/m3 and its heat of combustion is28MJ/kg . Assume that all heat is transferred from the fuel to the boiler and that all the work done in spinning the turbine is transformed into electric energy.

a. Suppose the coal is piled up in a 10m*10mroom. How tall must the pile be to operate the plant for one day?

b. What is the power plant’s thermal efficiency?

A freezer with a coefficient of performance 30%that of a Carnot refrigerator keeps the inside temperature at -22°Cin a 25°Croom. 3.0Lof water at 20°C are placed in the freezer. How long does it take for the water to freeze if the freezer’s compressor does work at the rate of 200W while the water is freezing?

A Carnot heat engine operates between reservoirs at 182°Cand 0°C. If the engine extracts 25Jof energy from the hot reservoir per cycle, how many cycles will it take to lift a 10Kg mass a height of 10m?

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