Let’s calculate the specific heat of cadmium using the information provided.

Known Quantities:
Heat absorbed by cadmium metal, (q): 134 J
Mass of cadmium, (m): 15.0 g
Change in temperature, (\Delta T): From 24.0°C to 62.7°C

break the answer down for me

To calculate the specific heat of cadmium, we can use the formula:

q = mcΔT

Where:
q = heat absorbed (134 J)
m = mass (15.0 g)
c = specific heat
ΔT = change in temperature (62.7°C - 24.0°C = 38.7°C)

Now, we can plug in the values and solve for specific heat:

134 J = (15.0 g) c (38.7°C)
134 J = 580.5 g*c
c = 134 J / 580.5 g
c ≈ 0.231 J/g°C

Therefore, the specific heat of cadmium is approximately 0.231 J/g°C.