Calculate the mass of gold (0.130 J/g°C) that requires 468 J to heat the metal from 21.6 °C to 33.2 °C?

The mass of gold is found to be 310.34 g.

Explanation:

We have:

Specific heat of gold = C = 0.130 J/g.°C

Heat = H = 468 J

Change in Temperature = ΔT = 33.2 °C - 21.6 °C = 11.6 °C

Now, to find mass of gold we first calculate the amount of heat required to heat the unit mass of gold to specified temperature:

Mass Specific Heat = C * ΔT

Mass Specific Heat = (0.130 J/g.°C) (11.6 °C)

Mass Specific Heat = 1.508 J/g

Now, for the mass of gold (m):

mass of gold = Heat/Mass Specific Heat

mass of gold = 468 J/1.508 J/g

mass of gold = 310.34 g