How many atoms are in 153 g of calcium?

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How many atoms are in 153 g of calcium?

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Answer 1 · 2017-06-07T23:16:39

$2.30 \times 10^{24}$ $2.30 xx 10^24$ $atoms Ca$ $"atoms Ca"$

Explanation:

We're asked to calculate the number of atoms of $Ca$ $"Ca"$ in $153$ $153$ $g Ca$ $"g Ca"$ .

What we must first do is convert the given mass of calcium to moles of calcium, using its molar mass (referring to a periodic table, this is $40.08 \frac{g}{mol}$ $40.08"g"/"mol"$ ):

$153$ $153$ $cancel("g Ca")((1"mol Ca")/(40.08cancel("g Ca"))) = color(blue)(3.82$ $color(blue)("mol Ca"$

Using Avogadro's number, $6.022 xx 10^23"particles"/"mol"$ , we can calculate the number of atoms present:

$color(blue)(3.82$ $cancel(color(blue)("mol Ca"))((6.022xx10^23"atoms Ca")/(1cancel("mol Ca")))$

$= color(red)(2.30 xx 10^24$ $color(red)("atoms Ca"$

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How many atoms are in 153 g of calcium?

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