Question

• (12) A calorimeter has mass 100 g and specific
heat 0.1 kcal/kg. It contains 250 g of liquid
at 30 °C having specific heat of 0.4 kcal/ks "C.
If we drop a piece of ice of mass 10 g at 0 °C into
the liquid, what will be the temperature of the
mixture​

Answer 1

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Let the final temperature of the mixture be T.

Amount of heat required in converting 10 g ice to 0°C to water at 0°C =

10×80=800 cal

Total amount of heat required in converting 10 g water to 0°C to water at T°C =

10×1×T=10T

Total heat energy required to convert 10 g ice at 0°C to water at T°C = 800 + 10T

Amount of heat released to raise the temperature of calorimeter at 30°C to T°C

100×0.1×(30−T)=10(30−T)

Amount of heat released to raise the temperature of 250g of eater at 30°C to T°C =

250×0.4×(30−T)=100(30−T)

Total amount of heat released in the process =

110(30−T)

Using the principle of calorimetry, we have

110(30−T)= 800 + 10T

⇒T=20.83°C