Problem 79P

If 89 J of heat are added to a pure gold coin with a mass of 12 g, what is its temperature change?

Solution 79P

Answer :

The specific heat capacity is the amount of heat needed to raise the temperature of 1 g of a substance by 1°C.

Since your sample has a mass of 18 g the amount of heat needed to raise the temperature of the entire sample by

1°C will be:

(18g)(0.128J/g°C) = 2.304 J/°C

Since you have 85 J of heat available, the temperature change of the entire sample will be:

ΔT = (85 J)/(2.304 J/°C = 36.89 °C.