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Question

When 100 g of boiling water at 100C is added into a calorimeter containing 300 g of cold water at 10C, temperature of the mixture becomes 20C. Then a metallic block of mass 1 kg at 10C is dipped into the mixture in the calorimeter. After reaching thermal equilibrium, the final temperature becomes 19C. What is the specific heat of the metal in C.G.S. units?

A
0.01
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B
0.3
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C
0.09
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D
0.1
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Solution

The correct option is D 0.1
Initially
Heat lost by boiling water = Heat gained by cold water
100×1×80=(300+w)1×10
Where w is the water equilvalent of calorimeter
w=500 g
When block is added
Total mass of water =100+500+300 = 900 g
900×1×(2019)=1000×s(1910)
s=0.1 CGS Units.

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