Considering the Dalton's partial pressure, the total pressure in the mixture of gases is 1.371 atm.
The pressure exerted by a particular gas in a mixture is known as its partial pressure.
So, Dalton's law states that the total pressure of a gas mixture is equal to the sum of the pressures that each gas would exert if it were alone:
[tex]P_{T}[/tex] = [tex]P_{1}+P_{2}+......+P_{n}[/tex]
where n is the amount of gases in the mixture.
Dalton's partial pressure law can also be expressed in terms of the mole fraction of the gas in the mixture. So in a mixture of two or more gases, the partial pressure of gas A can be expressed as:
[tex]P_{A}[/tex] = [tex]X_{a}P_{T}[/tex]
In this case, the partial pressure of gas H₂ can be expressed as:
[tex]P_{H2}[/tex] = [tex]X_{H2} P_{T}[/tex]
You know:
[tex]P_{H2}[/tex] = 0.48 atm
[tex]X_{H2}[/tex] = 0.35
Replacing in the definition of partial pressure of gas H₂:
[tex]0.48atm = 0.35P_{T}[/tex]
Solving:
[tex]P_{T}[/tex] = [tex]\frac{0.48atm}{0.35}[/tex]
[tex]P_{T}[/tex]= 1.371 atm
In summary, the total pressure in the mixture of gases is 1.371 atm.
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