Final answer:
The specific heat capacity of the metal is calculated using the formula c = Q / (mΔT), resulting in 17.82 J/kg°C when 50.5 kg of the metal absorbs 9000 J of heat and the temperature increases by 10°C.
Step-by-step explanation:
To calculate the specific heat of a metal, you can use the formula Q = mcΔT, where Q is the heat absorbed, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, we are given that 50.5 kg of metal absorbed 9000 J of heat (Q) and warmed by 10°C (ΔT). Plugging these values into the formula and solving for c (specific heat), we get:
c = Q / (mΔT)
c = 9000 J / (50.5 kg * 10°C)
c = 9000 J / (505 kg°C)
c = 17.82 J/kg°C
Therefore, the specific heat capacity of the metal is 17.82 J/kg°C.