Find the mass of iron heated to 85 degrees celcius that was added to 54.0 grams of water. The temperature of the water changed from 20 degrees celcius to 60 degrees celcius. The specific heat of the iron is 0.045 J/g degrees celcius

Answer 1

Note the correct spelling of celsius.
heat lost by Fe + heat gained by water = 0
[mass Fe x specific heat Fe x (Tfinal-Tintial)] + [mass H2O x specific heat H2O x (Tfinal-Tinitial)] = 0
Substitute and solve for the only unknown.