J.R. S. answered 12/17/20
Ph.D. University Professor with 10+ years Tutoring Experience
q = mC∆T
q = heat = -19500 J (- because heat was released, i.e. exothermic)
m = mass = ?
C = specific heat of water = 4.184 J/gº
∆T = change in temperature = 75.6 - 22.8 = -52.8º (- because temperature decreased)
solving for m, we have...
m = q / C∆T
m = -19500 J / (4.184 J/gº)(-52.8º)
m = 88.3 g