Step 1
Oxygen gas is considered to be ideal.
Therefore, it is applied:
[tex]P\text{ x V = n x R x T}[/tex]--------------------
Step 2
Information provided:
R = 8.314 m3
P = 36.0 kPa = 36.0 x (1000 Pa/1 kPa) = 36000 Pa
V = 38 L x (1 m3/1000 L) = 0.038 m3
T = 82 °C + 273 = 355 K
Procedure:
[tex]\begin{gathered} P\text{ x V = n x R x T} \\ \frac{PxV}{RxT}=n \\ \frac{36000\text{ Pa x 0.038 m3}}{8.314\text{ }\frac{Pa\text{ }m3}{mol\text{ K}}x355\text{ K}}=n \\ 0.46\text{ moles =n} \end{gathered}[/tex]Answer: n = 0.46 moles