Answer :
Final answer:
The specific heat of the metal is 0.39 J/g·℃ and its identity cannot be determined without additional information.
Explanation:
The specific heat of a substance is the amount of heat energy required to raise the temperature of a given mass of the substance by 1 degree Celsius. It can be calculated using the formula:
q = mc∆T
where q is the heat energy absorbed, m is the mass of the substance, c is the specific heat, and ∆T is the change in temperature.
In this case, the mass of the metal is 5.00 g and the temperature change is 75.0 - 25.0 = 50.0 ℃. Therefore, we can rearrange the formula to solve for the specific heat:
c = q / (m∆T)
Substituting the given values, we have:
c = 97.5 J / (5.00 g * 50.0 ℃) = 0.39 J/g·℃
To determine the identity of the metal, we would need additional information such as its atomic mass or specific properties. Without this information, we cannot determine the identity of the metal based solely on the given data.
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