Question #22836

How many atoms of copper are in a pure copper penny that weighs 2.15 g? (1 amu = 1.6605 10-24 g)

Expert's answer

How many atoms of copper are in a pure copper penny that weighs 2.15 g?

(1 amu = 1.6605 10-24 g).

**Solution:**

1 mole of substance include 6.021023mol16.02 \cdot 10^{23} \, \text{mol}^{-1} atoms (Avogadro's constant=1/1.6605 1024g10^{-24} \, \text{g}). The weight of 1 mole Copper is 63.546 g. Consequently, 63.546 g of Copper include 6.0210236.02 \cdot 10^{23} atoms and 2.15 g of Copper include:


N=2.156.02102363.546=2.041022 atomsN = \frac{2.15 \cdot 6.02 \cdot 10^{23}}{63.546} = 2.04 \cdot 10^{22} \text{ atoms}


**Answer:** N(Cu)=2.04·10²² atoms.

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