How many moles of magnesium oxide are there in \(2.50 \times 10^{25}\) formula units of MgO?

Short Answer

Expert verified
There are 41.5 moles of MgO in \(2.50 \times 10^{25}\) formula units of MgO.

Step by step solution

01

Understanding Avogadro's number

Avogadro's number, \(6.02 \times 10^{23}\), is the number of entities (like atoms, molecules, ions etc.) in one mole of a substance. It functions as a conversational factor.
02

Set up the conversion

We know the number of formula units of MgO and want to convert this into moles. We can use Avogadro's number as our conversion factor. The set up is: \((2.50 \times 10^{25}\) formula units) \( \times \) (1 mole \/ \(6.02 \times 10^{23}\) formula units). So we are multiplying the given number of formula units by a fraction: the mole is in the numerator (because we want to end up in moles), and Avogadro's number is in the denominator (because we want to cancel out formula units).
03

Carry out the calculation

Now it's just a matter of multiplying and dividing. \(2.50 \times 10^{25}\) divided by \(6.02 \times 10^{23}\) equals 41.5 moles of MgO.

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