Question

Calculate the specific heat of a metal. in J/kg.K, from the following data. A container made of the metal has a mass of 3.6 kg and contains 12.0 kg of water, a 1.8 kg of the metal initially at temperature of 178.0 °C is dropped into the water. the container and the water have a initial temperature of 16.0°C and the final temperature of the entire system is 18.0°C.

Answer 1

Let the specific heat of the metal = C

Then using calorimetric equations

We get,

( 3.6× C × 2) + (12× 4186 × 2) = 1.8× C × 160

280.8 C = 100464

C = 357.78 J/Kg/K