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Question

Two identical blocks of metal are at 20C and 80C, respectively. The specific heat of the material of the two blocks increases with temperature. Which of the following is true about the final temperature Tf when the two blocks are brought into contact (assuming that no heat is lost to the surroundings)?
  1. Tf will be 50C
  2. Tf will be more than 50C
  3. Tf will be less than 50C
  4. Tf will be more than or less than 50C depending on the precise variation of the specific heat with temperature.

A
Tf will be less than 50C
B
Tf will be more than or less than 50C depending on the precise variation of the specific heat with temperature.
C
Tf will be 50C
D
Tf will be more than 50C
Solution
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Final temperature will be more than 50oC as because the specific heat of the block at higher temperature is less than that of at lower temperature. And hence it will release less heat and less heat is being absorbed.

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