Chemistry conversion problems?

Question

I need help converting the following, please show work

100.liters=___moles

50.liters=___molecules

5.0 X 10^24molecules=___liters

I'm completely lost please help me on the steps.

Answer 1

From Wikipedia: One mole of an ideal gas occupies 22.4 liters (dm³) at STP.  This volume is often referred to as the molar volume of an ideal gas. Real gases may deviate from this value.

The number of molecules in one mole is called Avogadro's number, NA: approximately 6.022×1023 particles per mole.

So for the first one, do 100L*(1mol/22.4L) = 4.46 mol.

2nd one: do 50L*(1mol/22.4L)*(6.022*10^23molecules/m... = 1.34x10^24 molecules

3rd one: do 5x10^24molecules*(1mol/6.022*10^23molecu... = 185.98 L