It is desired to melt a 0.780 kg piece of Pb, starting with the sample at 51.0 deg. celsius. What is the total quantity of heat required to do this? The melting point of Pb is 327.4 degrees celsius; its heat of fusion is 4.774 kJ mol-1; its average heat capacity in the temperature range from 51 to 327.4 deg. celsius is 0.134 J g-1K-1.