Heat in the amount of 100 kj is transferred directly from a hot reservoir at 1200 k to a cold reservoir at 600 k. calculate the entropy change of the two reservoirs and determine if the increase of entropy principle is satisfied.

Solution:

Given:

= 1200 K

= 600 K

Q = 100 kJ

The Entropy change of the two reservoirs is given by the sum of entropy change of each reservoir system and is given by the formula:

[tex]\Delta s = 0.0833kJ/K

Since, the change in entropy is positive and according to the Increase in entropy principle, for any process the total change in entropy of a system is always greater than or equal to zero (with its enclosing adiabatic surrounding).

Therefore, the entropy principle is satisfied.