Answer: The specific heat of a substance is the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius. The formula for calculating the specific heat is:
q = mcΔT
where q is the amount of heat absorbed by the metal, m is the mass of the metal, c is the specific heat of the metal, and ΔT is the change in temperature of the metal.
Substituting the given values, we have:
5025 J = (0.469 kg) c (30°C - 20°C)
Simplifying and solving for c, we get:
c = 5025 J / (0.469 kg * 10°C)
c = 1070.1 J/(kg*C)
Therefore, the specific heat of the metal is 1070.1 J/(kg*C)