QuestionFind moles of $\mathrm{Cl}$ in $3.01 \times 10^{24}$ units of $\mathrm{MgCl}_{2}$ . Answer in moles.

Studdy Solution

STEP 1

Assumptions1. The number of formula units of magnesium chloride, $\mathrm{MgCl}_{}$ , is $3.01 \times10^{24}$ . Each formula unit of $\mathrm{MgCl}_{}$ contains two atoms of $\mathrm{Cl}$

STEP 2

First, we need to find the total number of $\mathrm{Cl}$ atoms in $.01 \times10^{24}$ formula units of $\mathrm{MgCl}_{2}$ . We can do this by multiplying the number of formula units by the number of $\mathrm{Cl}$ atoms in each formula unit.
$Total\, \mathrm{Cl}\, atoms = Number\, of\, formula\, units \times Number\, of\, \mathrm{Cl}\, atoms\, in\, each\, formula\, unit$

STEP 3

Now, plug in the given values for the number of formula units and the number of $\mathrm{Cl}$ atoms in each formula unit to calculate the total number of $\mathrm{Cl}$ atoms.
$Total\, \mathrm{Cl}\, atoms =3.01 \times10^{24} \times2$

STEP 4

Calculate the total number of $\mathrm{Cl}$ atoms.
$Total\, \mathrm{Cl}\, atoms =3.01 \times10^{24} \times2 =6.02 \times10^{24}$

STEP 5

Now that we have the total number of $\mathrm{Cl}$ atoms, we can convert this to moles. We use Avogadro's number, which is $.022 \times10^{23}$ atoms per mole.
$Number\, of\, moles = Total\, number\, of\, atoms / Avogadro's\, number$

STEP 6

Plug in the values for the total number of atoms and Avogadro's number to calculate the number of moles.
$Number\, of\, moles =6.02 \times10^{24} /6.022 \times10^{23}$

STEP 7

Calculate the number of moles.
$Number\, of\, moles =6.02 \times10^{24} /6.022 \times10^{23} =10\, moles$ The number of moles of $\mathrm{Cl}$ atoms in $3.01 \times10^{24}$ formula units of magnesium chloride, $\mathrm{MgCl}_{2}$ , is10 moles.

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