Question

Mole Conversion:
What is the mass of 3.13 x 1023 molecules of carbon dioxide?

Answer 1

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

`moles=(3.13*10^(23)molecules*1 mole )/(6.023*10^(23)molecules)`

moles= 0.52

Since the molar mass of carbon dioxide is 44 g / mole, then the following rule of three can be applied: if there are 44 g in 1 mole, how much mass is there in 0.52 moles?

`mass=(0.52 moles*44 g)/(1 mole)`

mass= 22.88 g

The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.