If 560.70 g of water (22degrees) is displaced, what volume of gas displaced it?

Any help would be greatly appreciated. I am thinking about using PV=NRT, but do I assume the value of the pressure is 1. Also using 560.7 do i determine the amount of moles?

No, you want to use the density.

mass = volume x density.
You know the mass of water, you can look up the density at 22 degrees C, which leaves you with volume to calculate. Post your work if you get stuck.