How many hydrogen atoms are in 4.2 moles of methane?

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How many hydrogen atoms are in 4.2 moles of methane?

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Answer 1 · 2017-08-03T03:17:19

There are $1.0 \times 10^{25}$ $1.0xx10^25$ atoms of hydrogen in $4.2$ $4.2$ moles methane.

Explanation:

One mole of atoms equals $6.022 \times 10^{23}$ $6.022xx10^23$ atoms.

The formula for methane, ${CH}_{4}$ $"CH"_4"$ indicates that one mole of the compound contains four moles of hydrogen atoms.

In order to determine how many hydrogen atoms there are in the given moles of methane, multiply the given moles by the mole ratio between ${CH}_{4}$ $"CH"_4"$ and $H$ $"H"$ to get moles of $H$ $"H"$ . Then multiply the moles $H$ $"H"$ by $6.022 \times 10^{23}$ $"6.022xx10^23$ atoms/mol.

$4.2color(red)cancel(color(black)("mol CH"_4))xx(4"mol H")/(1color(red)cancel(color(black)("mol CH"_4)))="16.8 mol H"$

$16.8color(red)cancel(color(black)("mol H"))xx(6.022xx10^23"atoms H")/(1color(red)cancel(color(black)("mol H")))=1.0xx10^25" atoms H"$

(rounded to two sig figs due to $4.2$ mol $"CH"_4"$ )

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How many hydrogen atoms are in 4.2 moles of methane?

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