Question

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

Answer 1

Answer:

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

Step-by-step 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?

$moles=\frac{3.13*10^{23}molecules*1 mole }{6.023*10^{23}molecules}$

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?

$mass=\frac{0.52 moles*44 g}{1 mole}$

mass= 22.88 g

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