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How many formula units make up 26.2 g of magnesium chloride (MgCl2)?Express the number of formula units numerically.

Sagot :

Sometimes, when working with ionic compounds like magnesium chloride we talk about formula units instead of molecules, but they are similar.

We are asked for the number of formula units (or molecules) of MgCl₂ that we have in 26.2 g of it.

Before we determine the number of formula units, we have to convert 26.2 g into moles. To do that we will use the molar mass of MgCl₂.

atomic mass of Mg = 24.31 amu

atomic mass of Cl = 35.45 amu

molar mass of MgCl₂ = 24.31 + 2 * 35.45

molar mass of MgCl₂ = 95.21 g/mol

moles of MgCl₂ = mass of MgCl₂/(molar mass of MgCl₂)

moles of MgCl₂ = 26.2 g/(95.21 g/mol)

moles of MgCl₂ = 0.275 moles

Once that we know the number of moles of MgCl₂ that we have in our sample, we can find the number of formula units. According to Avogadro's number, we have 6.022*10^23 formula units in 1 mol of formula units. We will use that conversion to get the answer to our problem.

1 mol of MgCl₂ = 6.022 *10^23 formula units

formula units of MgCl₂ = 0.275 moles of MgCl₂* 6.022 *10^23 formula units/(1 mol of MgCl₂)

formula units of MgCl₂ = 1.66 *10^23 formula units

Answer : 1.66 * 10^23 formula units make up 26.2 g of magnesium chloride.