How many degrees will mercury weighing 2 kg be heated if you transfer to it the amount of heat necessary

How many degrees will mercury weighing 2 kg be heated if you transfer to it the amount of heat necessary to heat water weighing 1 kg by 5 degrees Celsius

Data: m1 (mass of heated mercury) = 2 kg; m2 (mass of water) = 1 kg; Δt2 (change in water temperature) = 5 ºС; heat losses are not included in the calculation.

Constants: C1 (specific heat of mercury) = 140 J / (kg * ºС); С2 (specific heat capacity of water) = 4200 J / (kg * ºС).

1) Heat for heating 1 kg of water at 5 ºС: Q = C2 * m2 * Δt2 = 4200 * 1 * 5 = 21000 J.

2) Temperature rise of 2 kg of mercury: Q = C1 * m1 * Δt1, whence Δt1 = Q / (C1 * m1) = 21000 / (140 * 2) = 75 ºС.

Answer: Mercury will heat up to 75 ºС.