Answer:
Lead
Explanation:
To figure out if the given metal is silver, lead, or aluminum, we have to calculate its specific heat capacity, which is the heat energy required to raise the temperature of one kilogram of the respective substance by one degree Celsius (or one Kelvin).
To do that, we can use the following formula:
[tex]\boxed{C = \frac{Q}{m \cdot \Delta T}}[/tex],
where:
• C ⇒ specific heat capacity (J kg⁻¹ K⁻¹)
• Q ⇒ heat energy (J)
• m ⇒ mass of object (kg)
• ΔT ⇒ change in temperature (K)
Using the given information and the formula above, we can calculate the specific heat capacity of the given metal:
[tex]\mathrm {C = \frac{3250 \ J}{1.32 \ kg \times (292 - 273) \ K }}[/tex]
= 129. 6 J kg⁻¹ K⁻¹
Therefore, the metal is lead, because the specific heat capacity of lead is around 130 J kg⁻¹ K⁻¹, which is very close to the answer we got.
