An aluminium calorimeter of mass 0.05 kg is filled with 230 cm} water and 75 g of melting ice in thermal equilibrium. An unknown metal cube of mass 300 g and temperature of 250 °C is added to the calorimeter. The final temperature of the system is 30 °C.
Specific heat capacity of water = 4184 J kg-| K-I
Specific heat capacity of aluminium = 910 J kg- K-
Specific latent heat of fusion of water = 3.34 x 10° J kg-
Density of water = 1000 kg m-3
(a) Determine the specific heat capacity of the metal cube, assuming negligible energy losses.



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