Please answer all parts with work shown.

Consider two blocks of the same metal that have the same mass (and therefore the two blocks also have the same heat capacity). Initially one block has temperature T1 and the other block has temperature T2. When you bring the two blocks into contact, heat will flow between them until their temperatures are equal, which happens when their temperatures reach the final value Tf = (T1 + T2)/2.

a. Calculate the change in entropy S for this process in terms of T1 and T2.

b. What is S if the two blocks were already at the same temperature (T1=T2)?

2. Consider two blocks of the same metal that have the same mass (and therefore the two blocks also have the same heat capacity). Initially one block has temperature Ti and the other block has temperature T2. When you bring the two blocks into contact, heat will flow between them until their temperatures are equal, which happens when their temperatures reach the final value Tf = (T1 + T2)/2