Samuel T. answered 11/10/23
Highly Experienced & Certified High School Math & Chemistry Tutor
The amount of heat lost by the metal (q) as it cools down can be calculated using the equation:
q = mcΔT,
where m is the mass of the sample, c is the specific heat, and ΔT is the temperature change.
The equation can then be solved for the specific heat, c:
c = q/(mΔT) = 13,140 J / (75g x 200K) = 0.087J/gK
Note: ΔT = 200K