A metal of mass 0.5kg is heated to 100°C and then transferred to a well-lagged...

JAMB 2000

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.

A. 877Jkg^-1K^-1
B. 286Jkg^-1K^-1
C. 133Jkg^-1K^-1
D. 92Jkg^-1K^-1

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Correct Answer: Option C

Explanation

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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