Question

A sample of carbon dioxide gas (CO2) contains 8.551 x 1025 molecules. How many moles of carbon dioxide does this represent?

Answer 1

142.0 moles CO₂

Step-by-step explanation:

To answer this question, we first need to know what a mole is. A mole represents
`6.022 \cdot 10^(23)` of something, and in this case, that something is molecules.

So, to convert
`8.551 \cdot 10^(25)` molecules into moles, we need to use the conversion factor
`1=\frac{6.022\cdot 10^(23) \text{molecules} }{ \text{1 mole}}`.

Doing so (using dimensional analysis) gives us:

`8.551 \cdot 10^(25) \text{ molecules } \cdot \frac{\text{1 mole}}{ 6.022\cdot 10^(23) \text{ molecules} } = (8.551 \cdot 10^(25))/( 6.022\cdot 10^(23)) \text{ moles CO}_2 = \\ \\ 141.996 \text{ moles CO}_2 = \boxed{142.0 \text{ moles CO}_2 }`