A metal of mass 0 5kg is heated to 100 C and th... - JAMB Physics 2000 Question

A metal of mass 0.5kg is heated to 100°C and then transferred to a well-lagged calorimeter of heat capacity 80JK^-1 containing water of heat capacity 420JK^-1 at 15°C. If the final steady temperature of the mixture is 25°C, find the specific heat capacity of the metal.

877Jkg^-1K^-1

286Jkg^-1K^-1

133Jkg^-1K^-1

92Jkg^-1K^-1

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Correct Option: C

Let the specific heat cap. of the metal = C

∴ Heat lost by the metal = heat gained by the Calorimeter + Water

∴ 0.5 x C x [100 - 25]

80 x [25 - 15] + 420 [25 - 15]

0.5 x C x 75 = 80 x 10 + 420 x 10

37.5C = 800 + 4200

C = 5000/37.5 = 133.3Jkg^-1K^-1

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