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Question
272 calories of heat energy is required to heat 0.02 kg of a metal of specific heat capacity 170 cal kg−1°C−1 to a temperature T. If the initial temperature of the metal is 20°C, calculate the final temperature T.
Numerical
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Solution
Given: m = 0.02 kg, c = 170 cal kg−1°C−1, Q = 272 cal
Heat gained by the metal (Q) = mcΔT
$$\Delta T = \frac{Q}{mc}$$
$$= \frac{272}{0.02 \times 170}$$
= 80°C
Final temperature T = 20°C + 80°C = 100°C
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