[tex]\displaystyle{ p \cdot V = \nu \cdot R \cdot T }[/tex] (ecuatia generala a gazului ideal)
[tex]\displaystyle{ \nu = \frac{m}{ \mu} }[/tex]
[tex]\displaystyle{ m = 300 g = 300 \cdot 10^{-3} kg }[/tex]
[tex]\displaystyle{ \mu _{O_{2}} = 16 \ g/mol = 16 \cdot 10^{-3} \ kg/mol }[/tex]
[tex]\displaystyle{ \nu = \frac{300 \cdot 10^{-3}}{16 \cdot 10^{-3}} }[/tex]
[tex]\displaystyle{ \nu = \frac{300}{16} = 18,75 \ moli }[/tex]
t = 37°C ⇒ T = 273 + 37 = 210 K
[tex]\displaystyle{ V = 6 \ l = 6 \cdot 10^{-3} \ m^{3} }[/tex]
[tex]\displaystyle{ p = \frac{\nu \cdot R \cdot T}{V} = \frac{18,75 \cdot 8,31 \cdot 300}{6 \cdot 10^{-3}} }[/tex]
[tex]\displaystyle{ p = \frac{ 46743, 75}{6 \cdot 10^{-3}} = 7790,625 \cdot 10^{3} }[/tex]
[tex]\displaystyle{ p = 77, 9 \cdot 10^{5} \ Pa }[/tex]
Presiunea oxigenului din butelie este de 77,9 × 10⁵ Pascali.
Cantitatea de substanta este 18,75 moli.
Matei.
