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

< > according to newton's third law of motion, forces always act in equal but opposite pairs. another way of saying this is for every action, there is an equal but opposite reaction.< >