A gas mixture at 0°C and 1.0atm contains 0.010mol of H2, 0.015mol of O2, and 0.025mol of N2. Assuming ideal behavior, what is the partial pressure of hydrogen gas (H2) in the mixture?

A. About 0.010atm, because there is 0.010mol of H2 in the sample.

B. About 0.050atm, because there is 0.050mol of gases at 0°C and 1.0atm.

C. About 0.20atm, because H2 comprises 20% of the total number of moles of gas.

D. About 0.40atm, because the mole ratio of H2:O2:N2 is 0.4:0.6:1.

Respuesta :

Answer:

PHâ‚‚ = 0.2 atm

C) About 0.20atm, because H2 comprises 20% of the total number of moles of gas.

Explanation:

To determine the partial pressure of hydrogen gas (H2) in the mixture,

Partial pressure Hâ‚‚ = Ptotal * xHâ‚‚

xH₂ = Mole fraction of H₂ = ∩H₂ / ( ∩H₂ + ∩O₂ + ∩N₂)

xHâ‚‚ = 0.01 / (0.01 + 0.015 + 0.025)

xHâ‚‚ = 0.01/0.05

xHâ‚‚ = 0.2

therefore

PHâ‚‚ = pT * xHâ‚‚

PHâ‚‚ = 1.0 atm * 0.2

PHâ‚‚ = 0.2 atm

so the correct option is C)  About 0.20atm, because H2 comprises 20% of the total number of moles of gas.

The correct answer to the question is Option C. About 0.20 atm, because Hâ‚‚ comprises 20% of the total number of moles of gas.

We'll begin by calculating the mole fraction of Hydrogen (Hâ‚‚) in the mixture.

Mole of Hydrogen (H₂)  = 0.01 mole

Mole of Oxygen (O₂)  = 0.015 mole

Mole of Nitrogen (N₂)  = 0.025 mole

Total mole = 0.01 + 0.015 + 0.025 = 0.05 mole

Mole fraction of Hydrogen (Hâ‚‚) =?

Mole fraction = mole of gas / total mole

Mole fraction of Hydrogen (Hâ‚‚) = 0.01 / 0.05

Mole fraction of Hydrogen (Hâ‚‚) = 0.2

NOTE: The mole fraction of Hydrogen, Hâ‚‚ (i.e 0.2) in the mixture is exactly 20%.

Finally, we shall determine the partial pressure of Hydrogen, Hâ‚‚. This can be obtained as follow:

Mole fraction of Hydrogen (Hâ‚‚) = 0.2

Total pressure = 1 atm

Partial pressure of Hydrogen (Hâ‚‚) =?

Partial pressure = mole fraction × total pressure

Partial pressure of Hydrogen (H₂) = 0.2 × 1

Partial pressure of Hydrogen (Hâ‚‚) = 0.2 atm

From the calculations made above, we can see that the correct answer to the question is:

Option C. About 0.20 atm, because Hâ‚‚ comprises 20% of the total number of moles of gas.

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