I need help on how to convert 5.0x10^24 molecules to liters

Question

aaronq · Answer

find the number of moles:  $n=\dfrac{N}{N_A}$ 

N= number of molecules, $N_A$=avogadros number

if were assuming gas ideal gas behaviour, then, 1 mole = 22.414 L

anonymous · Answer

Well I do know that 1 mole = 22.4 liters. I am just confused on how you set the equation up and solve that equation.

aaronq · Answer

did you find the number of moles?

anonymous · Answer

My chem teacher is telling us to set it up like this          5.0x10^24 molecules    1 mole/6.02 molecules    22.4 liters/1 mole = ?

anonymous · Answer

6.02x10^23*

aaronq · Answer

yeah thats right, i don't really like using dimensional analysis for simple stuff like this but once you find the number of moles multiply by 22.414 L

anonymous · Answer

I got 1.86x10^2 as my answer.

aaronq · Answer

thats right, don't forget the units though.