A sealed container contains one mole of helium and three moles of nitr

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A sealed container contains one mole of helium and three moles of nitrogen gas at 25 °C. If the total pressure is 80000 Pa, what will be the partial pressure of nitrogen gas in the container?

20000 Pa
40000 Pa
60000 Pa
80000 Pa
This question was previously asked in
UPSC Geoscientist – 2022
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The correct answer is 60000 Pa.
According to Dalton’s Law of Partial Pressures, the partial pressure of a gas in a mixture is equal to its mole fraction multiplied by the total pressure of the mixture.
Total moles of gas = Moles of Helium + Moles of Nitrogen = 1 mole + 3 moles = 4 moles. The mole fraction of nitrogen is (Moles of Nitrogen) / (Total moles) = 3 / 4. The total pressure is 80000 Pa. Partial pressure of nitrogen = (Mole fraction of nitrogen) * (Total pressure) = (3/4) * 80000 Pa = 3 * 20000 Pa = 60000 Pa.

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