Object A, with heat capacity C A , and initially at temperature T A , is placed in thermal contact with object B, with heat capacity C B and initially at temperature T B . The combination is t

Question

Object A, with heat capacity C A ​ , and initially at temperature T A ​ , is placed in thermal contact with object B, with heat capacity C B ​ and initially at temperature T B ​ . The combination is thermally isolated. If the heat capacities are independent of the temperature and no phase changes occur, the final temperature of both objects is:

TestHub · Accepted Answer

Heat lost by one object = heat gained by the other:
$C_{A} (T_{A} - T) = C_{B} (T - T_{B})$
$C_{A} T_{A} + C_{B} T_{B} = (C_{A} + C_{B}) T$
$T = \frac{C _{A} T _{A} + C _{B} T _{B}}{C _{A} + C _{B}}$

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