Question Detail
Question
A sample of iron receives 50. J of heat energy that raises the temperature of the iron by 25.0°C. If iron has a specific heat of 10 J/g°C, what is the mass of the iron sample?
Correct Answer
Option A is the correct answer.
Detailed Explanation
q = m × c × ΔT. 50 J = m × (10 J/g°C) × 25.0°C = m × 250. So m = 50/250 = 0.2 g. This seems very low; the specific heat may be 0.10 J/g°C? If c = 0.10 J/g°C, m = 50/(0.10×25)=50/2.5=20 g. Given the options, 20g is likely intended with c=0.10 J/g°C.
Hint
Rearrange q = mcΔT to solve for mass.