For an ideal gas mixture of A and B, if the total pressure is 100 kPa and component B has a mole fraction of 0.25, calculate the partial pressure of component

Respuesta :

Answer:

The partial pressure of component A and B is 75 kPa and 25kPa respectively.

Explanation:

Total pressure of ideal gas mixture = 100kPa

Mole fraction of component B, [tex]\chi_B= 0.25[/tex]

Mole fraction of component A ,[tex]\chi_A[/tex]

As we know sum of all mole fraction in a mixture is equal to zero.

[tex]\chi_A+\chi+B=1[/tex]

[tex]\chi_A=1-\chi_B=1-0.25=0.75[/tex]

For partial pressure of each component we will apply Dalton's law of partial pressure:

[tex]p^{o}_i=p_{total}\times \chi_i[/tex]

Partial pressure of component a in a mixture:

[tex]p^{o}_A=p\times \chi_A=100kPa\times 0.75=75 kPa[/tex]

Partial pressure of component a in a mixture:

[tex]p^{o}_B=p\times \chi_B=100kPa\times 0.25=25 kPa[/tex]

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