To determine the specific heat of a certain metal, we can use the formula:
Q = mcΔT
Where Q is the heat lost, m is the mass of the metal, c is the specific heat, and ΔT is the change in temperature.
Since we are given the values for Q (34,500 Joules) and ΔT (97 degrees C), we can rearrange the formula to solve for c:
c = Q / (m * ΔT)
However, we need the mass of the metal in order to calculate the specific heat. Do you have the mass of the metal sample?