Imagine that your water heater has broken, but you want to take a bath. You fill your bathtub with 25 kg of room-temperature water (about 25 degrees Celsius). You figure that you can boil water on the stove and pour it into the bath to raise the temperature. How much boiling water would you need in order to raise the bath to body temperature (about 37 degrees Celsius)? Assume that no heat is transferred to the surrounding environment.
q = mc(Tf-Ti)
The Attempt at a Solution
So I find "q" in the following way:
q = 25000 g x 4.18 J/g x C x 12 C
q = 125400 J/g x C
Then, I sub in the following...
m = q/c(Tf-Ti)
m = 125400 J/g x C / 4.18 J/g x C x 12 C
m = 2500
I have a strong feeling this is terribly wrong, can someone please point the mistake out for me?