Equal masses of he and ne are placed in a sealed container. What is the partial pressure of he if the total pressure in the container is 6 atm?

Respuesta :

Answer:

6 atm.

Explanation:

Let the mass of both be m

Then moles of He = m/ 4

Moles of Ne = m/ 20

mole fraction of He = Moles of He/ Total moles = m/4/ (m/4 + m/20) = 0.25 m/0.3m = 0.83

Pressure of He = Mole fraction×total pressure = 0.83 × 6 atm = 5 atm

Answer:

The partial pressure of He is [tex]5\rm atm[/tex]

Explanation:

Given information:

Total pressure [tex]p_{total}=6\rm atm[/tex]

Assume that mass of both He and Ne is =[tex]m[/tex]

So we know that

[tex]n=\frac{m}{M}[/tex]

where,m mass of substance and M is molar mass of substance

Moles of He=[tex]\frac{m}{4}[/tex]

Moles of Ne=[tex]\frac{m}{20}[/tex]

Mole fraction of He

[tex]\chi_{He}[/tex]=Moles of He/Total moles

[tex]\chi_{He}=\frac{m/4}{m/4+m/20}=0.83[/tex]

By use of Dalton's equation,

        [tex]\chi_{He}=\frac{p_{He}}{p_{total}}[/tex]

On substitution,

[tex]{p_{He}}}=\chi_{He}\times{p_{total}=0.83\times 6\rm atm=5atm[/tex]

Hence, the partial pressure of He is [tex]5\rm atm[/tex] .

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