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
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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