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

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?

[amp_mcq option1=”20000 Pa” option2=”40000 Pa” option3=”60000 Pa” option4=”80000 Pa” correct=”option3″]

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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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