Chapter 9, Problem 102E

A 0.250-g chunk of sodium metal is cautiously dropped into a mixture of 50.0 g water and 50.0 g ice, both at 0°C. The reaction is

$2\text{Na}\left(s\right)+2{\text{H}}_{\text{2}}\text{O}\left(l\right)\to 2\text{NaOH}\left(aq\right)+{\text{H}}_2\left(g\right)\Delta H=-368\text{kJ}$

Assuming no heat loss to the surroundings, will the ice melt? Assuming the final mixture has a specific heat capacity of 4.18 J/g∙°c, calculate the final temperature. The enthalpy of fusion for ice is 6.02 kJ/mol.