# 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?

The mass of the copper coin is 44.9 g.

The formula for the heat absorbed by a substance is

where

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

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

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Use the formula: ( Q = mc\Delta T ) Rearrange for mass: ( m = \frac{Q}{c\Delta T} ) Substitute values: ( m = \frac{545.8 , J}{(0.387 , J/g°C)(31.4 , °C)} ) Calculate: ( m \approx 44.2 , g )

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