A substance has a melting point of 20°C and a boiling point of 150°C. The latent heat of fusion of 3.5 x 104 J/kg and the latent heat of vaporization of 7.0 x 104 J/kg. The specific heat for the solid phases is 600 J/(kg °C). The specific heat for the liquid phase is 1050 J/(kg °C) and the specific heat for the gas phase is 400 J/(kg °C).
The specific heat capacity for water is 4190 J/(kg °C). Water has a melting point of 0°C and a boiling point of 100° C.
What mass of water initially at a temperature of 70° was added to 0.50 kg of the substance, at a temperature of 16°C, if the final temperature is measured to be 30°C. Assume no heat was lost to the surroundings or the container.
Give the mass in Kg stated to 3 decimal places.
