Step-by-step explanation:
As density is the amount of mass divided by volume of the substance.
Mathematically, Density =

It is given that volume is 70.0 ml and density is 1.00 g/ml. Therefore, mass of the given substance will be as follows.
Density =

1.00 g/ml =
mass = 70.0 g
As we known that heat of vaporization of water is 2260 J/g for 1 g of a substance. Therefore, heat of vaporization of water for 70.0 g will be as follows.

= 158200 J
or, = 158.2 kJ (as 1 kJ = 1000 J)
Thus, we can conclude that 158.2 kJ heat is required to vaporize given sample of water.