A hot piece of iron is thrown into the ocean and its tempera

A hot piece of iron is thrown into the ocean and its temperature eventually stabilizes. Which of the following statements concerning this process is correct? (There may be more than one correct choice.) The change in the entropy of the iron-ocean system is zero. The entropy lost by the iron is equal to the entropy gained by the ocean. The entropy gained by the iron is equal to the entropy lost by the ocean. The ocean gains more entropy than the iron loses. The ocean gains less entropy than the iron loses.

Solution

A. False
B. False
C. False
D. True
E. False

Q = m*ci*T, T = Ti - To
Si = Q/Ti = -Q/Ti
So = Q/To = Q/To
St = Si + Sw
St = Q ( 1/To - 1/Ti)
St = Q ([Ti- To] / Ti*To), Ti > To
St > 0 (entropy of system increase), The ocean gains more entropy, than entropy lost in the iron.