A 1.9 L reaction vessel, initially at 298 K, contains nitrogen gas at a partial pressure of 337 mmHg and oxygen gas at a partial pressure of 580 mmHg . What is the pressure of N2O4 in the reaction vessel after the reaction?

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Answer:

The pressure of Nâ‚‚Oâ‚„ in the reaction vessel after the reaction is 290 mmHg

Explanation:

Nitrogen gas reacts with oxygen gas to form dinitrogen tetroxide.  

N₂ (g) + 2O₂ (g) →  N₂O₄ (g)

Therefore since by Avogadro's law equal volumes of all gases contain equal numbers of molecules, there fore as the gases are within the same vessel, thier partial pressure is equivalent to their concentration

from the reaction, 1 mole of Nâ‚‚ react with 2 moles of Oâ‚‚ to produce 1 mole of Nâ‚‚Oâ‚„

Thus

1 mmHg of Nâ‚‚ react with 2 mmHg of Oâ‚‚ to produce 1 mmHg of Nâ‚‚Oâ‚„

337 mmHg N₂ ×(1 mmHg of N₂O₄/ 1 mmHg of N₂) = 337 mmHg N₂O₄

580 mmHg O₂ ×(1 mmHg of N₂O₄/ 2 mmHg of O₂) = 290 mmHg N₂O₄

As seen from the above calculation, the limting reactant is oxygen and the partial pressure of Nâ‚‚Oâ‚„ = 290 mmHg

The pressure of Nâ‚‚Oâ‚„ in the reaction vessel after the reaction is

290 mmHg.

What is Avogadro's law?

This states that equal volumes of all gases contain equal

numbers of molecules.We can infer that the gases within the

same vessel have partial pressure which is equivalent to their

concentration.

The reaction is  given below:

N₂ (g) + 2O₂ (g) →  N₂O₄ (g)

1 mole of Nâ‚‚ react with 2 moles of Oâ‚‚ to produce 1 mole of Nâ‚‚Oâ‚„

1 mmHg of Nâ‚‚ reacts with 2 mmHg of Oâ‚‚ to produce 1 mmHg of Nâ‚‚Oâ‚„

337 mmHg N₂ ×(1 mmHg of N₂O₄/ 1 mmHg of N₂) = 337 mmHg N₂O₄

580 mmHg O₂ ×(1 mmHg of N₂O₄/ 2 mmHg of O₂) = 290 mmHg N₂O₄

The partial pressure of N₂O₄  in the reaction vessel after the reaction = 290 mmHg.

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