Question

Imagine a planet that has a similar atmospheric pressure to Earth (760 mmHg) but different concentrations of gases in its atmosphere. On this hypothetical planet, oxygen makes up 10% of the atmosphere, carbon dioxide makes up 15%, and nitrogen makes up the remaining 75%. Based on this information, what is the partial pressure of oxygen on this new planet?
646 mmHg
114 mmHg
160 mmHg
76 mmHg
571 mmHg

Answer 1

Answer:

76 mmHg is the partial pressure of oxygen on this new planet.

Explanation:

Atmospheric pressure on air on earth = 760 mmHg

On an unknown planet :

Oxygen makes up 10% of the atmosphere.

The mole fraction of oxygen gas can be written as = $\chi_1=\frac{10}{100}=0.1$

Carbon dioxide makes up 15% of the atmosphere.

The mole fraction of carbon dioxide gas can be written as = $\chi_2=\frac{15}{100}=0.15$

Nitrogen makes up the remaining 75% of the atmosphere.

The mole fraction of nitrogen gas can be written as = $\chi_1=\frac{75}{100}=0.75$

Atmospheric pressure of air on unknown planet,p= 760 mmHg (given)

Partial pressure of gases can be calculated by the help o Dalton's law of partial pressure:

Partial pressure of oxygen gas :

$p_1=p\times \chi_1$

$p_1=760 mmHg\times 0.1=76 mmHg$

Partial pressure of carbon dioxide gas :

$p_2=p\times \chi_2$

$p_2=760 mmHg\times 0.15=114 mmHg$

Partial pressure of nitrogen gas :

$p_3=p\times \chi_3$

$p_3=760 mmHg\times 0.75=570 mmHg$