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) Â 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 (Hâ‚‚) Â = 0.01 mole
Mole of Oxygen (Oâ‚‚) Â = 0.015 mole
Mole of Nitrogen (Nâ‚‚) Â = 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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