A gas has a volume of 10.0 liters at 373K and a pressure of 5.0atm, what volume will the gas occupy at STP?

Use ideal gas law PV=nRT

Convert 5.00 atm to kPa since units must be relative to gas constant (r).

To do this multiply 5 by 101.03 (1 atm=101.3kPa)

Now plug in (506.5kPa) (10.0L) = n (8.31 L•atm/mol•K) (373K)

Solve for n (moles) to get approximately 1.634 mol. Now use dimensional analysis (1.634mol/1) (22.4L/1mol) = 36.6L