A 717g piece of metal at 3230degree C is dropped into a cup

A 717-g piece of metal at 323.0degree C is dropped into a cup containing 351 g of water at 13.1degree C.Thc finaltemperature of the system is measured to be 78.3degree C. what is the specific heat of the metal, assuming no heat is exchanged with the surroundings or the cup? the specific heat of water is 4190 J/(kg Middle Dot k).

Solution

from law of conservation of energy:
M_metal C_metal dT = M_water x C_water x dT0

0.717x C_metalx(323-78.3) = 0.351x 4190x(78.3-13.1)

thus, the heat capacity: C_metal= 546.53 J/kg K