A mixture of He, Ne, and N2 gases are a pressure of 1.348. If the pressures of He and Ne are 0.124 atm, what is the partial pressure of N2 in the mixture ?

Respuesta :

The Best Answer: 1 - (.47+.23) = 0.30

If Ne has a mole fraction of 0.47 (or 47/100) and Ar is 0.23, then H2(or He) has a mole fraction of 0.30

This means the gas mixture is 30/100 H2(or He).

7.85 x 0.30 = 2.355 atm

Answer :  The partial pressure of [tex]N_2[/tex] in the mixture is, 1.224 atm

Solution :

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 gasses.

[tex]P_T=p_{He}+p_{Ne}+p_{N_2}[/tex]

where,

[tex]P_T[/tex] = total partial pressure of [tex]He,Ne\text{ and }N_2[/tex] = 1.348 atm

[tex]P_{He}[/tex] = partial pressure of helium

[tex]P_{Ne}[/tex] = partial pressure of neon

[tex]P_{N_2}[/tex] = partial pressure of nitrogen

As we are given that,

[tex]P_{He}+P_{Ne}=0.124atm[/tex]

Now put all the given values in above expression, we get the partial pressure of the nitrogen gas in the mixture.

[tex]1.348atm=0.124atm+p_{N_2}[/tex]

[tex]p_{N_2}=1.224atm[/tex]

Therefore, the partial pressure of [tex]N_2[/tex] in the mixture is, 66 Kpa

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