J.R. S. answered 02/21/19
Ph.D. University Professor with 10+ years Tutoring Experience
Use the expression q = mC∆T
q = heat = 1820 J
m = mass = 19.2 g
C = specific heat of water = 4.184 J/g/deg
∆T = change in temperature = ?
Solve for ∆T:
1820 J = (19.2 g)(4.184 J/g/deg)(∆T)
∆T = 1820 J/(80.33 J/deg) = 22.66 degrees
Since the water ABSORBS the heat (as stated in the problem), the temperature of the water must INCREASE.
Thus FINAL TEMP = 25.6ºC + 22.66ºC = 48.26ºC = 48.3ºC (to 3 significant figures)