The Dumas method for determining the amount of nitrogen in acompound consists of

Question

The Dumas method for determining the amount of nitrogen in acompound consists of passing the vapor of a substance over hotcopper (II) oxide. The compound is oxidized, and the nitrogen inthe substance is converted to nitrogen gas. If 39.8 mg of caffeinegives 10.1 cm3 of nitrogen gas at 23oC and746 mm Hg, what is the volume of nitrogen at 0oC and 760mm Hg?

Explanation / Answer

P1*V1/T1 = P2*V2/T2   (this equation can be found from PV= nRT => PV/T = n*R = constant) V2 = V1*(P1/P2)*(T2/T1) T2 = 273 K T1 = 300 K P1 = 746 atm P2 = 760 atm V2 = 10.1 cm3 *(746 atm/760 atm) *(273K /300 K) = 9.01 cm3

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