4.1 - Sample Problems

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Last updated 4:09 AM on 4/23/26
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1
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A heat engine is operating on a Carnot cycle and has a thermal efficiency of 75%. The waste heat from this engine is rejected to a nearby lake at 15°C at a rate of 14 kW. Determine the power output.

Find: Wnet

e = Wnet / Qa

2
New cards

A heat engine is operating on a Carnot cycle and has a thermal efficiency of 75%. The waste heat from this engine is rejected to a nearby lake at 15°C at a rate of 14 kW. Determine the power output.

Find: Qa

e = Wnet / Qa = (Qa-Qr) / Qa

3
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Consider two Carnot heat engines operating in series. The first engine receives heat from the reservoir at 1800°C and rejects the waste heat to another reservoir at temperature T. The second engine receives this energy rejected by the first one, converts some of it to work, and rejects the rest to a reservoir at 300°C. If the thermal efficiency of both engines is the same, determine T.

Find Tl1 = Th2 = T

e1 = e2 → 1 - Tl1/Th1 = 1 - Tl2/Th2 → 1 - T/Th1 = 1 - Tl2/T

4
New cards

A heat engine is operating on a Carnot cycle and has a thermal efficiency of 75%. The waste heat from this engine is rejected to a nearby lake at 15°C at a rate of 800 kJ/min. Determine the temperature of the source.

Find: Th

e = Wnet / Qa = (Qa - Qr)/Qa = 1 - Tl/Th

5
New cards

A heat engine is operating on a Carnot cycle and has a thermal efficiency of 75%. The waste heat from this engine is rejected to a nearby lake at 15°C at a rate of 800 kJ/min. Determine the temperature of the source.

Find: Qa

e = Wnet / Qa = (Qa - Qr)/Qa = 1 - Tl/Th

6
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The volume in the clearance space of a 152.40 mm x 254.0 mm Otto gas engine is 0.50 liters. Find the ideal thermal efficiency of the engine on the standard air basis, if the exponent of the expansion and compression lines is 1.35. Express in percent.

Find: e

e = Wnet / Qa = 1- (T4-T1)/(T3-T2) = 1 - TL/TH = 1 - T1/T2 = 1 - T4/T3 = 1-(1/rk^k-1)

7
New cards

The volume in the clearance space of a 152.40 mm x 254.0 mm Otto gas engine is 0.50 liters. Find the ideal thermal efficiency of the engine on the standard air basis, if the exponent of the expansion and compression lines is 1.35. Express in percent.

Find: