How many molecules are in 165 g of carbon dioxide?

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How many molecules are in 165 g of carbon dioxide?

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Answer 1 · 2016-05-28T23:36:56

$2.258 \times 10^{24}$ $2.258 xx 10^24$ molecules

Explanation:

We use Avogadro's number of $6.022 \times 10^{23}$ $6.022xx10^23$ molecules per mole to calculate the number of molecules from the number of moles represented by $165 g$ $"165 g"$ of carbon dioxide.

The gram-molecular weight of carbon dioxide can be calculated from the atomic weights for carbon and oxygen (two of them in ${CO}_{2}$ $"CO"_2$ ) given in a Periodic Table of the Elements.

$\frac{{165 g CO}_{2}}{44.01 g/mol} \times \frac{6.022 \times 10^{23} molecules}{mol}$ $("165 g CO"_2)/("44.01 g/mol") xx (6.022xx10^23 "molecules")/"mol"$

$= \mathbf(2.258xx10^24 "molecules")$

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How many molecules are in 165 g of carbon dioxide?

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