Answer:
2 J/g Celcius
Explanation:
Find delta T: final temp - initial temp
q=energy, m= mass, c= specific heat. delta T= change in temp
45.1 C-100 C= -54.9 C
Rearrange energy equation to solve of c (specific heat):
q=m*c*delta T --> c=q/(m*delta T)
Now, just plug in the numbers:
c= (-3452J)/(31g*-54.9 C)
... to get
c=2J/(g C) (rounded to 1 sig fig due to the 100 stated in the original problem)
Hope that helps!