A vessel of a certain volume contains two ideal gases, let's call them A(g) and B(g). The mole fraction of gas A is ??=0.32.  At a certain temperature the pressure in the vessel, P1, is measured. Then three additional moles of one of these gases are added while keeping the temperature fixed and the new pressure, P2, is measured.  The ratio of the two pressures is found to be: ?2/?1=2.15.  How many moles of A(g) and B(g) were originally in the vessel?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter5: Gases
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A vessel of a certain volume contains two ideal gases, let's call them A(g) and B(g). The mole fraction of gas A is ??=0.32.  At a certain temperature the pressure in the vessel, P1, is measured. Then three additional moles of one of these gases are added while keeping the temperature fixed and the new pressure, P2, is measured.  The ratio of the two pressures is found to be: ?2/?1=2.15.  How many moles of A(g) and B(g) were originally in the vessel?

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