To answer the question above, first convert the given amount of water from grams to mol by dividing it with its molar mass which is 18 g/mol.
amount in mol = 3.45 g x (mol/ 18 g) = 23/120 mol
Then, multiply this amount in mol with the heat of vaporization given.
(23/120) mol x (40.66 kj/mol) = 7.793 kJ
Thus, the heat absorbed is approximately equal to 7.793 kJ.