Solid A, with mass M , is at its melting point T A . It is placed in thermal contact with solid B, with heat capacity C B and initially at temperature T B ( T B T A ). The combination is t

Question

Solid A, with mass M , is at its melting point T A ​ . It is placed in thermal contact with solid B, with heat capacity C B ​ and initially at temperature T B ​ ( T B ​ > T A ​ ). The combination is thermally isolated. A has latent heat of fusion L and when it has melted has heat capacity C A ​ . If A completely melts the final temperature of both A and B is:

TestHub · Accepted Answer

Let the final temperature be T f ​ . Heat gained by A = heat lost by B: M L + C A ​ ( T f ​ − T A ​ ) = C B ​ ( T B ​ − T f ​ ) T f ​ ( C A ​ + C B ​ ) = C A ​ T A ​ + C B ​ T B ​ − M L T f ​ = C A ​ + C B ​ C A ​ T A ​ + C B ​ T B ​ − M L ​

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