what is the equilibrium temperature and why is the change in temperature for A and B the same?

Initial temp. A: 100
Initial temp. B: 0
Final temp. A: 50
Final temp. B: 50

Change in temp. A: -50
Change in temp. B: 50

Question

what is the equilibrium temperature and why is the change in temperature for A and B the same? 

Initial temp. A: 100
Initial temp. B: 0
Final temp. A: 50
Final temp. B: 50 

Change in temp. A: -50
Change in temp. B: 50

ybarrap · Answer

What is the final temperature of A?
What is the final temperature of B?

These are the equilibrium temperatures of each

You have the change above, one of them gets colder, the second gets warmer. The magnitudes of the change is the same, but the direction of these changes is different.

chris215 · Answer

the specfic heat capacity for A and B is 387

ybarrap · Answer

$$
 C \equiv \frac{ Q}{\Delta T}
$$
Since they have the same heat capacity
$$
387=\frac{ Q_A}{\Delta T_A}=\frac{ Q_B}{\Delta T_B}\
$$
Which means $Q_B=-Q_B$
Do you agree?

chris215 · Answer

yep thanks!