Question

a block of irom at 96.0 C is placed in 0.286 kg of cold water at 10.0 C in a well insulated container. the system comes to equilibruim at 13.0 C . Calculate the mass of the block. neglect any energy transfer to or from the container.

Answer 1

The problem can be solved by the principle of calriomerty which states that the heat lost by the hot substance is equal to the heat gained by the cold substance if heat exchange to the surrounding is zero

let be the mass of the iron and let and be the specific heat capacity of the iron and water respectively(specific heat is amount of heat energy required to raise temperature of unit mass of substance through a dergree celsius)

the amount of heat gained or lost by any substance is given by where is the change in temperature of substance

therefore by principle of calriometry

heat lost by iron = heat gained by water

values of and is not given so we take standard values which is and

putting these values we get

therefore