High School

How many molecules are there in 6.00 moles of glucose, [tex]C_6H_{12}O_6[/tex]?

Answer :

To find out how many molecules are present in 6.00 moles of glucose ([tex]\(C_6H_{12}O_6\)[/tex]), we need to use Avogadro's Number. Avogadro's Number is a constant that tells us the number of molecules in one mole of a substance, which is [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole.

Here’s a step-by-step method to find the number of molecules:

1. Identify the number of moles:
We are given that there are 6.00 moles of glucose.

2. Use Avogadro's Number:
Avogadro's Number is [tex]\(6.022 \times 10^{23}\)[/tex] molecules/mole. This is the number of molecules in one mole of any substance.

3. Calculate the number of molecules:
To find the total number of molecules in 6.00 moles, you multiply the number of moles by Avogadro's Number:

[tex]\[
\text{Number of molecules} = 6.00 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole}
\][/tex]

4. Result:
Performing the multiplication gives us approximately [tex]\(3.6132 \times 10^{24}\)[/tex] molecules.

Therefore, there are approximately [tex]\(3.6132 \times 10^{24}\)[/tex] molecules of glucose in 6.00 moles.