A flask contains a gas mixture of hydrogen and nitrogen. The total pressure of the mix is 2.0 atm. The partial pressure of the hydrogen is 0.8 atm. What is the partial pressure of the nitrogen?

A. 0.8 atm
B. 1.2 atm
C. 2.0 atm
D. 2.8 atm

Respuesta :

Answer:

The correct answer is option B.

Explanation:

According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gases.

[tex]P=p_{1}+p_{2}+..p_{n}[/tex]

Where :

[tex]P[/tex] = total pressure

[tex]p_{1}[/tex] = partial pressure of nitrogen gas  

[tex]p_{2}[/tex] = partial pressure of hydrogen gas

[tex]p_{n}[/tex] = partial pressure of nth gas

We have:

P = 2.0 atm, [tex]p_{H_2}=0.8 atm[/tex]

[tex]p_{N_2}=?[/tex]

Using Dalton's law of partial pressure:

[tex]2.0 atm = p_{N_2}+0.8 atm[/tex]

[tex]p_{N_2}=2.0 atm - 0.8 atm = 1.2 atm[/tex]

1.2 atm is the partial pressure of the nitrogen.