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The molar heat capacity of water at constant pressure is 75 J K⁻¹ mol⁻¹. When 1 kJ of heat is supplied to 100 g of water, which is free to expand, the increase in temperature of water is:

1. 6.6 K
2. 1.2 K
3. 2.4 K
4. 4.8 K

Correct answer: 2.4 K

Solution

The heat supplied (q) is related to the temperature change (ΔT) by the formula q = m × C × ΔT, where m is the number of moles, and C is the molar heat capacity. For 100 g of water (5.55 moles), ΔT = q / (m × C) = 1000 J / (5.55 × 75 J K⁻¹ mol⁻¹) = 2.4 K.

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