Question

A Carnot engine whose high-temperature reservoir is at 620 K takes in 550 J of heat at this temperature in each cycle and gives up 335 J to the low-temperature reservoir.

Answer 1

(a) W=217 J is the amount of mechanical work done by engine during each cycle.

(b) temperature of the low-pressure reservoir Tc=378K

(c) thermal efficiency of the cycle (e)=0.39=39%

Calculation:

For part (a)

We need to calculate the mechanical work W the engine does.

W = IQHI — IQcl  .....................eq(1)

Putting the given values of QH and QC into eq(1) we get  

the mechanical work of the engine W

W = 550 - 335  

W=217 J

For part (b)

We need to determine the temperature of low temperature reservoir Tc

IQc|/|Qh| =TC/TH  

for Tc  

Tc=(IQc|/|Qh|)*TH

Now putting the values, we get

Tc= 620K  (335/ 550.1)  

Tc=378K  

For part (c)

We need to find the thermal efficiency (e) of the cycle

e=1-TC/TH

e=1-(378/620)

e=0.39=39%

What is mechanical energy?

The energy that an object possesses as a result of its motion or position is known as mechanical energy. Kinetic energy, or the energy of motion, and potential energy are two types of mechanical energy (stored energy of position).

To learn more about mechanical work visit:

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Correct question:

A Carnot engine whose high-temperature reservoir is at 620 k takes in 550 J of heat at this temperature in each cycle and gives up 335 J to the low temperature reservoir.

(a) How much mechanical work does the engine perform during each cycle?

(b) What is the temperature of the low-pressure reservoir?

(c)What is the thermal efficiency of the cycle?