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A gaseous mixture contains 443.0 Torr H 2 ( g ) , 369.9 Torr N 2 ( g ) , and 82.7 Torr Ar ( g ) . Calculate the mole fraction, χ , of each of these gases.

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Answer:

χH₂ = 0.4946

χN₂ = 0.4130

χAr = 0.0923

Explanation:

The total pressure of the mixture (P) is:

P = pH₂ + pN₂ + pAr

P = 443.0 Torr + 369.9 Torr + 82.7 Torr

P = 895.6 Torr

We can find the mole fraction of each gas (χ) using the following expression.

χi = pi / P

χH₂ = pH₂ / P = 443.0 Torr/895.6 Torr = 0.4946

χN₂ = pN₂ / P = 369.9 Torr/895.6 Torr = 0.4130

χAr = pAr / P = 82.7 Torr/895.6 Torr = 0.0923