Question

How many grams of magnesium (mg 24.30 g/mol) are in 7.43*10^22 atoms of mg?

Answer 1

Answer: 3

Explanation:

Answer 2

Hello!

We know that by the Law of Avogrado, for each mole of substance we have 6.02*10²³ atoms, if:

The molar mass of of magnesium = 24.30 g/mol

If:

1 mol we have 6.02*10²³ atoms

1 mole of Mg we have 24.30 g

Then we have:

24.30 g ------------- 6.02*10²³ atoms

x ----------------------- 7.43*10²² atoms

$\dfrac{24.30}{x} = \dfrac{6.02*10^{23}}{7.43*10^{22}}$

$6.02*10^{23}*x = 24.30*7.43*10^{22}$

$6.02*10^{23}\:x = 1.80549*10^{24}$

$x = \dfrac{1.80549*10^{24}}{6.02*10^{23}}$

$\boxed{\boxed{x \approx 3\:grams\:of\:magnesium}}\end{array}}\qquad\checkmark$

I Hope this helps, greetings ... DexteR! =)