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Two ideal Carnot engines operate in casa...

Two ideal Carnot engines operate in casade (all heat given up by one engine is used by the other engine to produce work) between temperatures, `T_(1)` and `T_(2)`. The temperature of the hot reservoir of the first engine is `T_(1)` and the temperature of cold reservoir of the second engine is `T_(2)`. T is temperature of the sink of first engine which is also the source for the second engine. How is T related to `T_(1)` and `T_(2)`, if both the engines perform equal amount of work?

A

`(T_1 + T_2)/2`

B

`(T_1-T_2)/2`

C

`T_1T_2`

D

`sqrt(T_1T_2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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