# 3*10^22 atoms of water is equivalent to how many grams?

Jun 2, 2016

$0.897$ grams of water

#### Explanation:

Begin by converting the atoms to moles using Avogadro's number of $6.02 x {10}^{23}$

$3 x {10}^{22} \cancel{a t m s} x \frac{1 m o l}{6.02 x {10}^{23} \cancel{a t m s}} = 0.0498 m o l$

Nox convert the moles to grams using the molar mass of water $18.01 \frac{g}{m o l}$

$0.0498 \cancel{m o l} x \left(\frac{18.01 g}{1 \cancel{m o l}}\right) = 0.897 g r a m s$