Demonstrating the low melting point of Gallium metal (29.8°C), an instructor removes a 1.00 kg sample of the metal from a container at room temperature (20.0°C) and places it onto the palm of his hand. Given the heat of fusion and specific heat of this metal is 80.18 kJ/kg and 373 J/kg°C, respectively, determine the amount of thermal energy absorbed by the sample before reaching thermal equilibrium with the instructor's hand (37.0°C). Assume the specific heat of gallium does not change from the solid state to the liquid state.