# An ancient copper coin was found to absorb 545.8 J of heat when the temperature increases 31.4 C°. The specific heat of copper is 0.387 J/g°C. What is the mass of the copper coin?

##### 1 Answer

Jun 10, 2016

The mass of the copper coin is 44.9 g.

The formula for the heat absorbed by a substance is

#color(blue)(|bar(ul(color(white)(a/a) q = mcΔT color(white)(a/a)|)))" "#

where

You can rearrange the formula to calculate the specific heat capacity:

#m = q/(cΔT)#

Wouldn't it have been easier to weigh the coin on a balance?