Question

What is the mass of 5.6 x 1026 molecules of Al2O3?

Answer 1

Answer:

$94,883.72\text{ g}$

Explanation:

Here, we want to get the mass that contains the given number of molecules

We start by getting the number of moles

Mathematically:

$1\text{ mole has 6.02 }\times\text{ 10}^{23}\text{ molecules}$

The number of moles in the given number of molecules would be:

$\frac{5.6\text{ }\times\text{ 10}^{26}}{6.02\text{ }\times\text{ 10}^{23}}\text{ = 930.23 moles}$

Now from here, we get the mass

Mathematically:

$mass\text{ = number of moles }\times\text{ molar mass}$

The molar mass of the compound is 102 g/mol

Thus, we have the mass as:

$930.23\text{ }\times\text{ 102 = 94,883.72 g}$