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Exploring Energy ConceptsTwo solid blocks, each having
Chapter 7, Problem 5P(choose chapter or problem)
Two solid blocks, each having mass m and specific heat c, and initially at temperatures \(T_{1}\) and \(T_{2}\), respectively, are brought into contact, insulated on their outer surfaces, and allowed to come into thermal equilibrium.
(a) Derive an expression for the exergy destruction in terms of m, c, \(T_{1}\), \(T_{2}\), and the temperature of the environment, \(T_{0}\).
(b) Demonstrate that the exergy destruction cannot be negative.
(c) What is the source of exergy destruction in this case?
Questions & Answers
QUESTION:
Two solid blocks, each having mass m and specific heat c, and initially at temperatures \(T_{1}\) and \(T_{2}\), respectively, are brought into contact, insulated on their outer surfaces, and allowed to come into thermal equilibrium.
(a) Derive an expression for the exergy destruction in terms of m, c, \(T_{1}\), \(T_{2}\), and the temperature of the environment, \(T_{0}\).
(b) Demonstrate that the exergy destruction cannot be negative.
(c) What is the source of exergy destruction in this case?
ANSWER:Solution 5P:
Step 1 of 4:-
Two blocks have equal mass, .
The specific heat is: .
Initial temperatures of the two blocks are: and
.
The whole system is isolated by the insulator on their outer surface.
The temperature of the environment is: .