When 1 gram of liquid water at 0 degrees celsius freezes to form ice how many total joules of heat are lost by the water?

a change from liquid to solid or solid to liquid will require the use of the formula of

Heat of Fusion , q=mHf where m is the mass and Hf = 334J/g, this is standard so you wont have to look for how it came about.In this case the m=5.00g so:

q = m Hf

q=(5.00g)(334 J/g) , you notice the grams will cancel out.

q = 1670 J.