Given 7.8 moles of calcium hydroxide reacts with excess sodium chloride to produce calcium chloride and sodium hydroxide, how many grams of sodium hydroxide are produced?

Ca(OH)2 + 2NaCl ==> 2NaOH + CaCl2.

7.8 mols Ca(OH)2 will produce 2*7.8 mols NaOH.
grams NaOH = mols NaOH x molar mass NaOH.
BTW, I don't believe the reaction will occur.