Magnesium is a metal that is commonly used in products that need to be lightweight. Suppose a 2.00-kg piece of magnesium has 8160 J of energy added to it. Its temperature increases 4k. What is the specific heat of magnesium. Show your work

The specific heat of magnesium is 1.02 J/g.K

Explanation:

To calculate the energy involved in the heating of the metal (magnesium), we use the following expression:

energy = mass x Cp x ΔT

We have the following data:

mass = 2.00 kg x 1000 g/1.00 kg = 2000 g

energy = 8160 J

ΔT = 4 K

Thus, we can calculate the specific heat of magnesium (Cp) in J/g.K as follows:

⇒ Cp = energy/(mass x ΔT) = 8160 J/(2000 g x 4K) = 1.02 J/g.K