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NEET 2020 Model Question Paper 3
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© examsnet.com
Question : 22
Total: 180
Two carnot engines A and B are operated in series. The first one, A receives heat at
T
1
(= 600K) and rejects to a reservoir at temperature
T
2
. The second engine B receives heat rejected by the first engine and, in turn, rejects to a heat reservoir at
T
3
(=400K). Calculate the temperature
T
2
if the work outputs of the two engines are equal
500K
300K
400K
600K
Validate
Solution:
For Carnot engine A,
W
A
Q
1
=
(
1
−
T
2
T
1
)
For Carnot engine B,
W
B
Q
2
=
(
1
−
T
3
T
2
)
As per equation,
W
A
=
W
B
Q
1
(
1
−
T
2
T
1
)
=
Q
2
(
1
−
T
3
T
2
)
T
1
T
2
(
1
−
T
2
T
1
)
=
(
1
−
T
3
T
2
)
T
1
T
2
−
1
=
1
−
T
3
T
2
T
2
=
T
1
+
T
3
2
=
600
+
400
2
=
500
K
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