Question 9 options: If 782.9 J of energy is lost when a sample of Fe (iron) with a mass of 32.9 g is cooled, what is the change in temperature

Answer 1

For this problem, you will need the Specific Heat Formula Q = mcΔT.

Q = amount of heat gained or lost (782.9 Joules according to prompt)

m = mass of the substance (32.9 g according to prompt)

c = specific heat of the material (in the case of iron (Fe), the specific heat is 0.45 Joules/grams × °C)

ΔT = change in temperature (what we are trying to find)

Plug these all in the formula to get:

782.9 J = (32.9 g) * (0.45 J/g°C) * (ΔT)

782.9 = 14.805 * ΔT

Now solve for ΔT by dividing both sides by 14.805:

ΔT = 52.88 °C

So the change in temperature is 52.88 °C.