On a separate sheet of paper, solve the following problems. vgrans grien Imusly 1. A heat engine has a hot-reservoir temperature of 1200°C. Its cold- reservoir temperature is room temperature air. What is the Carnot efficiency of the engine? (Note that room temperature air is about 25°C.) 2. A heat engine has an efficiency of 52% when it runs with a hot-reservoir temperature of 400°C and cold-reservoir temperature of 50°C. What is the efficiency if the hot-reservoir temperature is raised to 800°C?

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Chapter 24 Thermodynamics
Carnot Efficiency
A 25-kW heat engine operates between a 3200-K hot reservoir and a 450-K
cold reservoir. What is the engine's Carnot, or ideal, efficiency?
Read and Understand
What information are you given?
Power of engine = 25 kW
High-temperature reservoir, Thot = 3200 K
Class
Low-temperature reservoir, T
cold = 450 K
=
de
Plan and Solve
What unknown are you trying to calculate?
Carnot efficiency = ?
What formula contains the given quantity and the unknown?
Thot-Teold
Carnot efficiency:
Thot
Substitute the known values and solve.
Note that because the hot and cold reservoir temperatures are given in
kelvins, they can be directly substituted into the equation.
Carnot efficiency
Thot - Tcold
Thot
3200 K-450 K
3200 K
=
HOBS syna)
2900
= 0.86 or 86% ritottal onl oba
Ismen 180M
ghol sdt al d
Look back and check
olarit ni
Is your answer reasonable? ob lliw
Yes, a high efficiency is expected due to the large difference between the Ab
reservoir temperatures.
orii bsi
Math Practice
a separate sheet of paper, solve the following problems.
te grien Inily n
1. A heat engine has a hot-reservoir temperature of 1200°C. Its cold-
reservoir temperature is room temperature air. What is the Carnot
efficiency of the engine? (Note that room temperature air is about 25°C.)
2. A heat engine has an efficiency of 52% when it runs with a hot-reservoir
temperature of 400°C and cold-reservoir temperature of 50°C. What is
the efficiency if the hot-reservoir temperature is raised to 800°C?
Transcribed Image Text:Name Chapter 24 Thermodynamics Carnot Efficiency A 25-kW heat engine operates between a 3200-K hot reservoir and a 450-K cold reservoir. What is the engine's Carnot, or ideal, efficiency? Read and Understand What information are you given? Power of engine = 25 kW High-temperature reservoir, Thot = 3200 K Class Low-temperature reservoir, T cold = 450 K = de Plan and Solve What unknown are you trying to calculate? Carnot efficiency = ? What formula contains the given quantity and the unknown? Thot-Teold Carnot efficiency: Thot Substitute the known values and solve. Note that because the hot and cold reservoir temperatures are given in kelvins, they can be directly substituted into the equation. Carnot efficiency Thot - Tcold Thot 3200 K-450 K 3200 K = HOBS syna) 2900 = 0.86 or 86% ritottal onl oba Ismen 180M ghol sdt al d Look back and check olarit ni Is your answer reasonable? ob lliw Yes, a high efficiency is expected due to the large difference between the Ab reservoir temperatures. orii bsi Math Practice a separate sheet of paper, solve the following problems. te grien Inily n 1. A heat engine has a hot-reservoir temperature of 1200°C. Its cold- reservoir temperature is room temperature air. What is the Carnot efficiency of the engine? (Note that room temperature air is about 25°C.) 2. A heat engine has an efficiency of 52% when it runs with a hot-reservoir temperature of 400°C and cold-reservoir temperature of 50°C. What is the efficiency if the hot-reservoir temperature is raised to 800°C?
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