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Some ice is put in a calorimeter. Determine the heat capacity of the calorimeter as \( 2.1 \mathrm{~kJ} \) of heat is required to heat it together with its contents form \( 270 \mathrm{~K} \) to \( 272 \mathrm{~K} \), and \( 69.72 \mathrm{~kJ} \) of heat is required to raise its temperature of \( 272 \mathrm{~K} \) to \( 274 \mathrm{~K} \). Latent heat of fusion of ice is \( 3.36 \times 10^{5} \mathrm{~J} / \mathrm{kg} \) and specific heat capacity of ice is \( 2100 \mathrm{~J} / \mathrm{kg} \).
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