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Question

In a laboratory experiment to measure the specific heat capacity of copper, 0.02 kg of water at 70° C was poured into a copper calorimeter with a stirrer of mass 0.16 kg initially at 15°C. After stirring the final temperature reached to 45°C.
(i) What is the quantity of heat released per kg of water per 1°C fall in temperature?
(ii) Calculate the heat energy released by water in the experiment in cooling from 70°C to 45°C.
(iii) Assuming that heat released by water is entirely used to raise the temperature of calorimeter 15°C to 45°C, calculate the specific heat capacity of copper. (Specific heat capacity of water = 4200 Jkg-1ºC-1.

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Solution

(i) The heat energy released by 1 kg of water, per 1 ºC fall in temperature , is the specific heat capacity of water, i.e. 4200 J.

(ii) The total heat energy released by water in the experiment

= m c dt = 0.02 × 4200 × (70 – 45) = 2100 J


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