Question

1. Suppose the masses of the calorimeter, the water in it and the hot object mode up of copper
which is put in the calorimeter are the same. The initial temperature of the colonnen
water is 30 C and that of the hot object is 60 C. The specific heats of copper and water one
0.09 cal / (gm °C) and I cal/gm "C) respectively. What will be the final temperature of
water?
Given m = m = m = m. T = 30 °C, T = 60°C T = ?
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Answer 1

Specific heat capacity

The specific heat capacity of a substance is the quantity of heat energy required to raise the temperature of 1 kg of the substance by 1°C. The symbol used for specific heat capacity is c and the units are J/(kg °C) or J/(kg K). (Note that these units may also be written as J kg–1 °C–1 or J kg–1 K–1).

Some typical values of specific heat capacity for the range of temperature 0°C to 100°C include:

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Hence to raise the temperature of 1 kg of iron by 1°C requires 500 J of energy, to raise the temperature of 5 kg of iron by 1°C requires (500 × 5) J of energy, and to raise the temperature of 5 kg of iron by 40°C re- quires (500 × 5 × 40) J of energy, i.e. 100 kJ.

In general, the quantity of heat energy, Q, required to raise a mass m kg of a substance with a specific heat capacity of c J/(kg °C), from temperature t1 °C to t2 °C is given by:

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