What mass of water can be heated by 10 degrees Celsius by transferring to it an amount of heat of 1 kJ?

Task data: Δt (required change in water temperature) = 10 ºС; Q (transferred amount of heat) = 1 kJ (1 * 10 ^ 3 J).

Reference values: Cw (specific heat of water) = 4200 J / (kg * K).

We express the mass of water that can be heated by 10 ºС from the formula: Q = Cw * m * Δt, whence m = Q / (Cv * Δt).

Let’s calculate: m = 1 * 103 / (4200 * 10) = 0.0238 kg or 23.8 g.

Answer: You can heat 23.8 g of water.