J.R. S. answered 02/27/22
Ph.D. University Professor with 10+ years Tutoring Experience
We will need the specific heat for iron, which from an internet source is 0.44 J/gº
The standard specific heat for water is 4.184 J/gº
Heat lost by iron must equal heat gained by water
heat lost by iron = q = mC∆T = (87.3 g)(0.44 J/gº)(58.1º) = 2232 J
heat gained by water = q = mC∆T = (m)(4.184 J/gº)(12.3º) = 51
2232 J = 51 mgJ
m = 43.8 g of water