Answer to Question #80209 in Molecular Physics | Thermodynamics for Vaibhavi Desai

Question

Specific heat capacity of water = 4200 J/kg/K
Specific heat capacity of aluminium = 900 J/kg/°C
Specific heat capacity of ice = 2100 J/ kg/K
Latent heat of fusion of ice = 334 000 J/ kg
Latent heat of vaporization of water =
2 250 000J/kg

We wish to determine the specific heat capacity of a new alloy of an unknown specific heat capacity.

A 0.15 kg sample of alloy is heated to 540°C. It is then quickly placed in 400 g of water at l0°C which is contained in a 200 g aluminium cup. The final temperature of the mixture is 305°C. Calculate the specific heat capacity of the alloy.

NB: Heat lost by alloy is gained by both the water and the cup containing the water.