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Dalton says: "The partial pressure of a (non-condensing) gas in the mixture is proportional to its concentration." Since your total pressure is 1000 mmHg and the volumes all total to 1000 mL, you don't even need to take your shoes off to do the math.

The nitrogen's volume is 780 ml of the total 1000 ml so its partial pressure is 780 mmHg of the total 1000 mmHg.

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Q: A sample of dry air contains 210 mL of oxygen 780 mL of nitrogen and 10.0 mL of all other gases What is the pressure in mm of Hg due to the nitrogen if the total pressure was 1000.0 mm?
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