The mass, specific heat capacity and the temperature of a solid are , and respectively. The mass of the liquid and the calorimeter are and . Initially, both are at room temperature . Both calorimeter and the solid are made of same material. In the steady state, temperature of mixture is , then find the specific heat capacity of the unknown liquid.
= or specific heat of calorimeter
= mass of calorimeter =
= mass of unknown liquid =
= specific heat of unknown liquid
From law of heat exchange,
Heat given by solid = Heat taken by calorimeter + Heat taken by unknown liquid
Solving this equation we get,