The amount of heat required to heat 1 kg of water by 5 degrees was transferred to 2 kg of mercury.

The amount of heat required to heat 1 kg of water by 5 degrees was transferred to 2 kg of mercury. How much will the mercury heat up?

Initial data: m1 (mass of heated water) = 1 kg; Δt1 (change in water temperature) = 5 ºС; m2 (mass of heated mercury) = 2 kg.

Constants: C1 (specific heat capacity of water) = 4200 J / (kg * K); C2 (specific heat of mercury) = 140 J / (kg * K).

We calculate the change in the temperature of mercury from the equality:

Q1 = Q2 = C1 * m1 * Δt1 = C2 * m2 * Δt2.

Δt2 = C1 * m1 * Δt1 / (C2 * m2).

Let’s do the calculation:

Δt2 = 4200 * 1 * 5 / (140 * 2) = 75 ºС.

Answer: The temperature of mercury will increase by 75 ºС.