Dimensional analysis will help you a lot in this problem. Basically you know that temperature changes as heat is absorbed (relates delta T to delta H*). You also know that a reaction occurs, and there is an enthalpy change associated with reaction. That's the chemistry of this problem.
To solve this, balance the reaction. Relate heat (enthalpy) evolved from the reaction to change in temperature via specific heat. The mathematical part of this problem is dealing with the fact that specific heat is in units of J/C*g, while delta H is to be in units of kCal/mol. A hint is that you will need density...
I am purposely being vague so you can figure it out on your own with a few nudges from me.
*Change in enthalpy is not necessarily the same as heat evolved/absorbed, but in most chemical reactions under constant pressure, they are. This is beyond the scope of gen chem, but this is why the term heat and enthalpy are generally interchangeable in chemistry.