A solid was placed in the calorimeter with liquid. The masses of a liquid and a solid are the same.

A solid was placed in the calorimeter with liquid. The masses of a liquid and a solid are the same. As a result of heat exchange, the temperature of the solid decreased by 20 ° C, and the temperature of the liquid increased by 5 ° C. Determine the ratio of the specific heat capacities of a liquid and a solid (respectively, cr and st).

Given:
m1 = m2,
Δt1 = 20 ° С,
Δt2 = 5 ° C;
Find: czh / ct;
Let’s write the heat balance equation:
Q1 = Q2,
where
Q1 = m1 * ct * Δt1 – the amount of heat given off by a solid,
Q2 = m2 * czh * Δt2 – the amount of heat received by the liquid;
We get:
m1 * ct * Δt1 = m2 * cw * Δt2;
Hence:
cf / ct = Δt1 / Δt2 = 20 ° C / 5 ° C = 4.