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3 gasses are mixed together (N2, O2, and He). The gauge of the N2 states a pressure of 1.23 atm. The gauge on the O2 tank shows 2.3 atm. The Helium gauge is broken. When the gasses are mixed, the total pressure of the tank is 6.50 atm. What is the pressure of the He?

a) 3.47 atm

b) 2.97 atm

c) 0.435 atm

d) 10.03 atm

Answer :

Answer: The pressure of the He is 2.97 atm

Explanation:

According to Dalton's law, the total pressure is the sum of individual pressures.

[tex]p_{total}=p_{N_2}+p_{O_2}+p_{He}.[/tex]

Given : [tex]p_{total}[/tex] =total pressure of gases = 6.50 atm

[tex]p_{N_2}[/tex] = partial pressure of Nitrogen = 1.23 atm

[tex]p_{O_2}[/tex] = partial pressure of oxygen = 2.3 atm

[tex]p_{He}[/tex] = partial pressure of Helium = ?

putting in the values we get:

[tex]6.50atm=1.23atm+2.3atm+p_{He}[/tex]  

[tex]p_{He}=2.97atm[/tex]

The pressure of the He is 2.97 atm

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