First problem:
First you need to determine the quantity of nitrogen gas:
n = m / M
= 0.19 g / 28.0 g/mol
= 6.786 x 10-3 ---> carry extra significant figure for intermediate calculation
Now, using the Ideal Gas Law:
PV = nRT
V = nRT / P
= [(6.786 x 10-3)(8.31 kPa.L.mol-1.K-1)(300 K) / 96.9 kPa
= 0.175 L
Now use the combined gas law to determine the volume at STP:
P1V1 / T1 = P2V2 / T2
V2 = (96.9 kPa)(0.175 L)(273 K) / (300 K)(101.3 kPa)
= 0.15 L
OR you could use the following mole equation when working at STP:
VSTP = n x VM
= 22.4 L/mol x 6.786 x 10-3
= 0.15 L
You should be expressing this answer as 0.15 L, correct to two significant digits. You cannot have an answer with more accuracy than one of the parameters involved in the calculation.
The second problem is just a matter of using the Ideal Gas Law once you determine the quantity of oxygen.
n = m / M
= 2.37 g / 32.0 g/mol
= 0.07406 mol ---> carry extra significant figure for intermediate calculations.
P = nRT / V
= 95.5 kPa
I'm getting a slightly different answer for the second problem.