Question

A gas mixture contains ar and h2. what is the total pressure of the mixture, if the mole fraction of h2 is 0. 350 atm and the pressure of h2 is 0. 480 atm?

Answer 1

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:

$P_{T}$ = $P_{1}+P_{2}+......+P_{n}$

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:

$P_{A}$ = $X_{a}P_{T}$

In this case, the partial pressure of gas H₂ can be expressed as:

$P_{H2}$ = $X_{H2} P_{T}$

You know:

$P_{H2}$ = 0.48 atm

$X_{H2}$ = 0.35

Replacing in the definition of partial pressure of gas H₂:

$0.48atm = 0.35P_{T}$

Solving:

$P_{T}$ = $\frac{0.48atm}{0.35}$

$P_{T}$= 1.371 atm

In summary, the total pressure in the mixture of gases is 1.371 atm.

Learn more about partial pressure: https://brainly.com/question/15302032

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