A piece of glass has a temperature of 72.0 degrees Celsius. The specific heat capacity of the glass is 840 J/kg/deg C. A liquid that has a temperature of 40.0 degrees Celsius is poured over the glass, completely covering it, and the temperature at equilibrium is 57.0 degrees Celsius. The mass of the glass and the liquid is the same. Determine the specific heat capacity of the liquid

741 J/kg°C

Explanation:

Given that

Initial temperature of glass, T (g) = 72° C

Specific heat capacity of glass, c (g) = 840 J/kg°C

Temperature of liquid, T (l) = 40° C

Final temperature, T (2) = 57° C

Specific heat capacity of the liquid, c (l) = ?

Using the relation

Heat gained by the liquid = Heat lost by the glass

m (l). C (l).ΔT (l) = m (g). C (g).ΔT (g)

Since their mass are the same, then

C (l) ΔT (l) = C (g) ΔT (g)

C (l) = C (g) ΔT (g) / ΔT (l)

C (l) = 840 * (72 - 57) / (57 - 40)

C (l) = 12600 / 17

C (l) = 741 J/kg°C