It can be shown that as a mass m with specific heat c changes temperature from T i to T f its change in entropy is Δ S = mcln (Tf/Ti) if the temperatures are expressed in kelvin. Suppose you put 79 g of milk at 278 K into an insulated cup containing 296 g of coffee at 355 K, and that each has the specific heat of water. The system comes to an equilibrium temperature of 339 K.

(a) What is the entropy change of the milk?

(b) What is the entropy change of the coffee?

(c) What is the entropy change of the universe due to adding the milk to the coffee?