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
