The problem essentially wants you to convert a given amount of energy to grams of steam at
This conversion factor is called the enthalpy of vaporization of water
#DeltaH_"vap" = "2257 J g"^(-1)#
The enthalpy of vaporization tells you how much heat is needed in order to convert
In your case, you need
This means that
#"226,000" color(red)(cancel(color(black)("J"))) * "1 g"/(2257color(red)(cancel(color(black)("J")))) = color(darkgreen)(ul(color(black)("100. g")))#
The answer is rounded to three sig figs, the number of sig figs you have for the amount of heat.