J.R. S. answered 04/07/20
Ph.D. University Professor with 10+ years Tutoring Experience
energy = heat = q = mass (m) x specific heat (C) x change in temperature (∆T).
So, this is the equation you want to use: q = mC∆T
q = ? This is what they are asking for, ie heat
m = mass = 14.2 grams
C = specific heat for copper. Usually given in the problem, but you can look it up. I found C = 0.386 J/g/ºC
∆T = change in temperature = 39.1º - 20.5º = 18.6ºC (NOTE: the temperature of the Cu DECREASED)
Plug in these numbers and solve for q:
q = (14.2 g)(0.386 J/g/ºC)(18.6ºC) = 101.95 J = - 102 J (NOTE the negative sign indicating an exothermic reaction since heat was given off by or lost from the Cu, i.e. temperature decreased. Also not the answer is reported to 3 significant figures)