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The total pressure of a mixture of oxygen and hydrogen is 1.0

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The total pressure of a mixture of oxygen and hydrogen is 1.0 atm. The mixture is ignited and the water is removed. The remaining gas is pure hydrogen and exerts a pressure of 0.40 atm when measured at the same values of T and V as the original mixture. What was the composition of the original mixture in mole fraction ?

x_{o_{2}} = 0.2, x_{H_{2}} = 0.8

x_{o_{2}} = 0.4, x_{H_{2}} = 0.6

x_{o_{2}} = 0.6, x_{H_{2}} = 0.4

x_{o_{2}} = 0.8, x_{H_{2}} = 0.2

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The total pressure of a mixture of oxygen and hydrogen is 1.0 atm. The mixture is ignited and the water is removed. The remaining gas is pure hydrogen and exerts a pressure of 0.40 atm when measured at the same values of T and V as the original mixture. What was the composition of the original mixture in mole fraction ?

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Text solutionVerified

Answer: aSolution: (a)

p \times n

a - 2 b a 2 H_{2} (g) + b - b b O_{2} (g) \to 2 H_{2} O (g)

a + b = 1

a - 2 b = 0.4

3 b = 0.6

b = 0.2

a = 0.8

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Question Text	The total pressure of a mixture of oxygen and hydrogen is 1.0 atm. The mixture is ignited and the water is removed. The remaining gas is pure hydrogen and exerts a pressure of 0.40 atm when measured at the same values of T and V as the original mixture. What was the composition of the original mixture in mole fraction ?
Answer Type	Text solution:1
Upvotes	151

Text solutionVerified

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