Question #23981

How many molecules are in 71.9 grams of Cl2?

Expert's answer

How many molecules are in 71.9 grams of Cl2?

**Solution:**

One mole of any substance contains 6,0210236,02 \cdot 10^{23} molecules.

The molar mass of Cl2\mathrm{Cl}_2 is M(Cl2)=35.452=70.9 g/mol\mathrm{M}(\mathrm{Cl}_2) = 35.45 \cdot 2 = 70.9\ \mathrm{g/mol}.

So that, 70.9 g70.9\ \mathrm{g} of Cl2\mathrm{Cl}_2 contains 6,0210236,02 \cdot 10^{23} molecules, and

71.9 g71.9\ \mathrm{g} of Cl2\mathrm{Cl}_2 contains nn molecules.

So, n(Cl2)=71.96.02102370.9=6.1051023n(\mathrm{Cl}_2) = \frac{71.9 \cdot 6.02 \cdot 10^{23}}{70.9} = 6.105 \cdot 10^{23} molecules.

**Answer:** The number of molecules in 71.9 grams of Cl2\mathrm{Cl}_2 there are 6.10510236.105 \cdot 10^{23}.

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