180k views
1 vote
What is the mass of 4.49 x 10º carbon dioxide, CO2, molecules?

User Gjeltema
by
4.7k points

2 Answers

4 votes

Final answer:

The mass of 4.49 x 10¹¹ CO₂ molecules is calculated by converting the number of molecules to moles, and then using the molar mass of CO₂, resulting in a mass of 3.282 x 10⁻¹⁴ grams CO₂.

Step-by-step explanation:

The question asks for the mass of 4.49 x 10¹¹ carbon dioxide, CO₂, molecules. To calculate this mass, we can use the molar mass of CO₂. The molecular mass of carbon dioxide is 44.01 amu, which means one mole (Avogadro's number, 6.022 x 10²³) of CO₂ molecules has a mass of 44.01 grams.

First, let's convert the number of molecules to moles:

4.49 x 10¹¹ molecules CO₂ × (1 mole/6.022 x 10²³ molecules) = 7.457 x 10⁻¹⁵ moles CO₂

Now, calculate the mass:

7.457 x 10⁻¹⁵ moles CO₂ × 44.01 g/mol = 3.282 x 10⁻¹⁴ grams CO₂

User MetalGodwin
by
4.2k points
0 votes
To find this you have to find the molar mass of CO2 which you can get on the periodic table, 12 + 16 + 16 = 44 g/mol

4.49 x 10^0 / 44 g/mol = .1020 mol CO2

1 mol = 6.022 x 10^23 molecules (avogadros number)

so .1020 mol x 6.022 x 10^23 =
6.14 x 10 ^22 molecules CO2
User Firat
by
3.9k points