Answer: The partial pressure of oxygen is 160 mmHg
Explanation:
We are given:
Percent of oxygen in air = 21 %
Mole fraction of oxygen in air = [tex]\frac{21}{100}=0.21[/tex]
To calculate the partial pressure of oxygen, we use the equation given by Raoult's law, which is:
[tex]p_{O_2}=p_T\times \chi_{O_2}[/tex]
where,
[tex]p_{O_2}[/tex] = partial pressure of oxygen = ?
[tex]p_T[/tex] = total pressure of air = 760 mmHg
[tex]\chi_{O_2}[/tex] = mole fraction of oxygen = 0.21
Putting values in above equation, we get:
[tex]p_{O_2}=760mmHg\times 0.21\\\\p_{O_2}=160mmHg[/tex]
Hence, the partial pressure of oxygen is 160 mmHg