Respuesta :

Answer:

  • 0.14955  mol

Explanation:

We can solve this problem using the ideal gas law

[tex]P \ V = \ n \ R \ T[/tex]

where P is the pressure, V the volume, n the number of moles, R the ideal gas constant and T the temperature.

We can use the atmospheric pressure as 1 atm, and the body temperature as 36.5 °C, in Kelvin this is:

[tex]T_{body} = 36.5 \° C = (36.5 + 273.15) K = 309.65 \ K[/tex]

The ideal gas constant is:

[tex]R = 0.082057 \frac{L \ atm}{ K \ mol}[/tex]

taking all this in consideration, the number of moles will be:

[tex] n = \frac{P \ V}{  R \ T }[/tex]

[tex] n = \frac{1 \ atm * 3.8 \ L  }{ 0.082057 \frac{L \ atm}{ K \ mol}[/tex] *  309.65 \ K } [/tex]

[tex] n = 0.14955 \ mol [/tex]