Q5. Two identical bodies of constant heat capacity are initially at temperatures T1 and T2 . They are used as hot and low temperature reservoirs for a Carnot engine. No other source of heat is available. Show that the final common temperature Tp after all possible work has been extracted from the system is Tp = [T,T;]2 High-temperature reservoir
Q5. Two identical bodies of constant heat capacity are initially at temperatures T1 and T2 . They are used as hot and low temperature reservoirs for a Carnot engine. No other source of heat is available. Show that the final common temperature Tp after all possible work has been extracted from the system is Tp = [T,T;]2 High-temperature reservoir
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![Q5. Two identical bodies of constant heat capacity are initially at temperatures T1 and T2 . They are
used as hot and low temperature reservoirs for a Carnot engine. No other source of heat is available.
Show that the final common temperature T; after all possible work has been extracted from the system
is
1
Tp = [T,T,]2
High-temperature reservoir
At intermediate states the temperatures of the hot and cold
T1
reservoir can be taken as t, and t, respectively. For an infinitesimal
process
Iw|
Q1 = Cdt,
Q2 = -Cdt2
Q2
Efficiency of a Carnot engine is given as
Q1
T2
Low-temperature reservoir
n = 1 -
Q2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30ac1dcf-c69f-4801-9d6d-c9b4fe53f655%2F73a5eefd-d3a0-44e9-ba52-676322447afa%2F0evpbuf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q5. Two identical bodies of constant heat capacity are initially at temperatures T1 and T2 . They are
used as hot and low temperature reservoirs for a Carnot engine. No other source of heat is available.
Show that the final common temperature T; after all possible work has been extracted from the system
is
1
Tp = [T,T,]2
High-temperature reservoir
At intermediate states the temperatures of the hot and cold
T1
reservoir can be taken as t, and t, respectively. For an infinitesimal
process
Iw|
Q1 = Cdt,
Q2 = -Cdt2
Q2
Efficiency of a Carnot engine is given as
Q1
T2
Low-temperature reservoir
n = 1 -
Q2
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