A large electrical power station generates 1400 MW of electricity with an efficiency of 31 %. a) How much heat does the power station need to generate this amount of electricity in one day? Qh = b) How much heat is exhausted to the environment in one day? Qc = c) The exhaust heat is transferred to the ambient air at 15 °C. What is the change in entropy of the surrounding air in one day? AS = J/K

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
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A large electrical power station generates 1400 MW of electricity with an efficiency of 31 %.
a) How much heat does the power station need to generate this amount of electricity in one day?
Qn =
b) How much heat is exhausted to the environment in one day?
Qc =
J
c) The exhaust heat is transferred to the ambient air at 15 °C. What is the change in entropy of the
surrounding air in one day?
AS =
J/K
%3D
d) The heat driving the generators is in the form of superheated steam at 260 °C. If a Carnot engine had
been used instead, what would it's efficiency be?
Efficiency =
e) How much work was lost (left undone) because a Carnot engine was not used?
WCarnot Wactual =
%3D
Transcribed Image Text:A large electrical power station generates 1400 MW of electricity with an efficiency of 31 %. a) How much heat does the power station need to generate this amount of electricity in one day? Qn = b) How much heat is exhausted to the environment in one day? Qc = J c) The exhaust heat is transferred to the ambient air at 15 °C. What is the change in entropy of the surrounding air in one day? AS = J/K %3D d) The heat driving the generators is in the form of superheated steam at 260 °C. If a Carnot engine had been used instead, what would it's efficiency be? Efficiency = e) How much work was lost (left undone) because a Carnot engine was not used? WCarnot Wactual = %3D
Expert Solution
Step 1

Given that:Output power of the station, Pout=1400 MWEfficiency, η=31%=0.31

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