Respuesta :
Answer:
Partial pressure of oxygen [tex]= 0.100[/tex] atm
Partial pressure of Helium [tex]= 0.800[/tex] atm
Explanation:
We will first find the number of moles of each gas
The molar mass of oxygen is [tex]32[/tex] grams per mole
The molar mass of helium is [tex]4[/tex] grams per mole
The number of moles of oxygen in the solution
[tex]\frac{40}{32} \\1.25[/tex]
The number of moles of helium in the solution
The number of moles of oxygen in the solution
[tex]\frac{40}{4}\\10[/tex]
Total number of moles in the solution is equal to
[tex]10 + 1.25 \\11.25[/tex]
Partial pressure of oxygen
[tex]\frac{1.25 }{11.25} * 0.900[/tex] atm
[tex]= 0.100[/tex] atm
Partial pressure of Helium
[tex]\frac{10 }{11.25} * 0.900[/tex] atm
[tex]= 0.800[/tex] atm
The partial pressure of each gas are:
1. The partial pressure of oxygen is 0.1 atm.
2. The partial pressure of helium is 0.8 atm.
We'll begin by calculating the number of mole of each gas:
For Oxygen:
Mass = 40 g
Molar mass = 32 g/mol
Mole of Oxygen = ?
Mole = mass / molar mass
Mole of Oxygen = 40 / 32
Mole of Oxygen = 1.25 mole
For Helium:
Mass = 40 g
Molar mass = 4 g/mol
Mole of Helium = ?
Mole = mass / molar mass
Mole of Helium = 40 / 4
Mole of Helium = 10 moles
- Next, we shall determine the total of the gases in the mixture.
Mole of Oxygen = 1.25 mole
Mole of Helium = 10 moled
Total mole = 1.25 + 10
Total mole = 11.25 moles
- Next, we shall determine the mole fraction of oxygen
Mole of Oxygen = 1.25 mole
Total mole = 11.25 moles
Mole fraction of Oxygen =?
Mole fraction = mole / total mole
Mole fraction of Oxygen = 1.25 / 11.25
Mole fraction of Oxygen = 0.111
1. Determination of the partial pressure of oxygen
Mole fraction of Oxygen = 0.111
Total pressure = 0.9 atm
Partial pressure of Oxygen = ?
Partial pressure = mole fraction × total pressure
Partial pressure of Oxygen = 0.111 × 0.9
Partial pressure of Oxygen = 0.1 atm
2. Determination of the partial pressure of Helium
Partial pressure of Oxygen = 0.1 atm
Total pressure = 0.9 atm
Partial pressure of Helium =?
Partial pressure of Helium = Total pressure – Partial pressure of Oxygen
Partial pressure of Helium = 0.9 – 0.1
Partial pressure of Helium = 0.8 atm
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