Question

A sample of MgO contains 1.54×1024 molecules. How many moles of MgO are present?

Answer 1

Question #82524, Chemistry / Inorganic Chemistry

Question:

A sample of MgO contains $1.54 \times 10^{24}$ molecules. How many moles of MgO are present?

Solution:

Number of moles can be calculated from the equation:

$$\nu = \frac{N}{N_A}$$

Where $\nu$ – number of moles in a sample of MgO, N – number of molecules, $N_A$ – Avogadro’s number ($6.02 \times 10^{23} \, \text{mol}^{-1}$).

As the required number of molecules is $N = 1.54 \times 10^{24}$ molecules, $N_A = 6.02 \times 10^{23}$, then:

$$\nu \, (MgO) = \frac{N}{N_A} = \frac{1.54 \times 10^{24} \, \text{molecules}}{6.02 \times 10^{23} \, \text{mol}^{-1}} = 0.26 \times 10^1 \, \text{mol} = 2.6 \, \text{mol}$$

Answer:

There are 2.6 moles of MgO.

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