Objects A and B of equal mass are brought into close thermal contact with each other, but they are well isolated from their surroundings. Initially T A = 0 ∘ C and T B = 10 0 ∘ C . The specific he

Question

Objects A and B of equal mass are brought into close thermal contact with each other, but they are well isolated from their surroundings. Initially T A ​ = 0 ∘ C and T B ​ = 10 0 ∘ C . The specific heat of A is less than the specific heat of B. The two objects will soon reach a common final temperature T f ​ . The final temperature is

TestHub · Accepted Answer

Heat gained by A = heat lost by B: m s A ​ T f ​ = m s B ​ ( 100 − T f ​ ) T f ​ = 100 × s A ​ + s B ​ s B ​ ​ T f ​ = 1 + s A ​ / s B ​ 100 ​ The denominator is less than two because: s A ​ < s B ​ T f ​ > 2 100 ​ = 5 0 ∘ C

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