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Avogadro's number
represents the number of units in one mole of any substance. This has the value
of 6.022 x 10^23 units / mole. This number can be used to convert the number of
atoms or molecules into number of moles. We calculate as follows:

 1.81×10^24 formula units MgCl2 ( 1 mol / 6.022x10^23 formula units ) ( 2 mol Cl / 1 mol MgCl2 ) = 6.01 mol Cl atoms

Answer: The number of moles of Chlorine atoms in given formula units of magnesium chloride are 6 moles.

Explanation:

Formula unit is defined as lowest whole number ratio of ions in an ionic compound. It is calculate by multiplying the number of moles by Avogadro's number which is \(6.022\times 10^{23}\)

We are given:

Number of formula units of magnesium chloride = \(1.81\times 10^{24}\)

By applying unitary method, we get:

If \(6.022\times 10^{23}\) number of formula units are present in 1 mole of a compound.

So, \(1.81\times 10^{24}\) number of formula units will be present in \(\frac{1}{6.022\times 10^{23}}\times 7.81\times 10^{24}=3mol\) of magnesium chloride.

For the given compound magnesium chloride:

As, 1 mole of magnesium chloride contains 1 mole of magnesium atom and 2 atoms of chlorine atoms.

So, 3 moles of magnesium chloride will contain \((1\times 3)=3mol\) of magnesium atoms and \((2\times 3)=6mol\) of chlorine atoms.

Hence, the number of moles of Chlorine atoms in given formula units of magnesium chloride are 6 moles.

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