Answer:
<em> The temperature of the cold sink would be 191.1 K</em>
Explanation:
The steam engine has a cold and hot reservoir;
Given that heat withdrawn from the source = 10 KJ
Work done W= 3 KJ
The hot source temperature = 273 K
The efficiency of a steam engine with a hot and cold reservoir can be obtained with equations 1 and 2.
η = W/ ...................1
η = ......................2
since the two equations represent the efficiency of a steam turbine, equations 1 and 2 are equal.
Eqn 1 = Eqn 2
W/ = .
Substituting the values in equation above to get ;
3/10 = (273 - )/273
2370 - 10 = 3 x 273
10 = 2370 -816
= 1911 / 10
= 191.1 K
Therefore the temperature of the cold sink is 191.1 K