Question

You have 1.2 x 10^25 particles of MgO. How many moles are present?

Answer 1

Answer

19.93 moles

Explanation

Given:

The number of particles of MgO = 1.2 x 10²⁵ particles

What to find:

The number of moles present in 1.2 x 10²⁵ particles of MgO.

Step-by-step solution:

Let the number of moles of MgO present be x.

From Avogadro, 1 mole of any substance contains 6.022 x 10²³ particles

This means 1 mole of MgO contains 6.022 x 10²³ particles,

So, x mole of MgO will contain 1.2 x 10²⁵ particles of MgO

To get x, cross multiply and divide both sides by 6.022 x 10²³ particles as shown below:

$x=\frac{1\text{ }mol\text{ }MgO\times1.2\times10²⁵\text{ }particles}{6.022\times10²³\text{ }particles}=19.93\text{ mol}$

Therefore, the number of moles present in 1.2 x 10²⁵ particles of MgO is 19.93 moles