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Two bodies have heat capacities (at constant volume) c, = a and c2 = bT and are thermal isolated from the rest of the universe. Initial temperatures of the bodies are T10 and T20, w T20, > T10. The two bodies are brought into thermal equilibrium (keeping the volume constant), while delivering as much work as possible to a reversible work source. (b) What is the final temperature T; of the two bodies? (In case you are unable to solve fo an explicit value of T, you will still get full credit if you explain in detail how to obtair the value). (c) What is the maximum work delivered to the reversible work source? (You may express the answer in terms of T. wvithout having to evplicitly solve for it)

Two bodies have heat capacities (at constant volume) c, = a and c2 = bT and are thermal isolated from the rest of the universe. Initial temperatures of the bodies are T10 and T20, w T20, > T10. The two bodies are brought into thermal equilibrium (keeping the volume constant), while delivering as much work as possible to a reversible work source. (b) What is the final temperature T; of the two bodies? (In case you are unable to solve fo an explicit value of T, you will still get full credit if you explain in detail how to obtair the value). (c) What is the maximum work delivered to the reversible work source? (You may express the answer in terms of T. wvithout having to evplicitly solve for it)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Transcription for Educational Website:** Two bodies have heat capacities (at constant volume) \( c_1 = a \) and \( c_2 = bT \) and are thermally isolated from the rest of the universe. Initial temperatures of the bodies are \( T_{10} \) and \( T_{20} \), with \( T_{20} > T_{10} \). The two bodies are brought into thermal equilibrium (keeping the volume constant), while delivering as much work as possible to a reversible work source. (b) What is the final temperature \( T_f \) of the two bodies? (In case you are unable to solve for an explicit value of \( T_f \), you will still get full credit if you explain in detail how to obtain the value). (c) What is the maximum work delivered to the reversible work source? (You may express the answer in terms of \( T_f \) without having to explicitly solve for it).
Transcribed Image Text:**Transcription for Educational Website:** Two bodies have heat capacities (at constant volume) \( c_1 = a \) and \( c_2 = bT \) and are thermally isolated from the rest of the universe. Initial temperatures of the bodies are \( T_{10} \) and \( T_{20} \), with \( T_{20} > T_{10} \). The two bodies are brought into thermal equilibrium (keeping the volume constant), while delivering as much work as possible to a reversible work source. (b) What is the final temperature \( T_f \) of the two bodies? (In case you are unable to solve for an explicit value of \( T_f \), you will still get full credit if you explain in detail how to obtain the value). (c) What is the maximum work delivered to the reversible work source? (You may express the answer in terms of \( T_f \) without having to explicitly solve for it).
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