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

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

Step-by-step 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=(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=(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=(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* \chi_1`

`p_1=760 mmHg* 0.1=76 mmHg`

Partial pressure of carbon dioxide gas :

`p_2=p* \chi_2`

`p_2=760 mmHg* 0.15=114 mmHg`

Partial pressure of nitrogen gas :

`p_3=p* \chi_3`

`p_3=760 mmHg* 0.75=570 mmHg`