Answer: 6750 J
Step-by-step explanation:
The solution ends up being a rather basic plug and chug formula.
m = mass of substance in question - measured in grams
so for this problem that is 3 kg iron, which is (3000g)
c = is the specific heat capacity for the substance. This is the maximum amount of thermal energy (Ek/ Etc) you can add to the substance before the intra molecular forces weaken (either for a solid or liquid) sufficiently for phase change energy (Eph) to be added and the substance changes states.
for this problem, the substance in question is iron - which has a specific heat capacity of (.450 j/g-*c) . j/g-*c simply means the amount of Jules required to raise one gram of said substance one degree celcius.
(change in)T = just the change in temperature provided by the parameters of the problem
for this problem it is simply (25 *C - 20*C), which equals (5*C)
to solve you just multiply the parts together ----
(3000g)(.450 j/g-*c)(5*C) = 6750j