A rigid container holds a gaseous mixture of three ideal gases—species A, B

CHEMISTRY · Subjective · AP · Chemistry · Properties of Substances and Mixtures · Properties of Substances and Mixtures

Problem

A rigid container holds a gaseous mixture of three ideal gases—species A, B, and C—at a constant temperature and volume. The total pressure of the system is measured to be 1.00 atm. (a) Describe, on the molecular level, why the pressure exerted by each individual gas in the mixture is independent of the identity of the other gases present. (b) Explain quantitatively why the sum of the individual pressures equals the total pressure for an ideal‐gas mixture. (c) Using only the definitions of partial pressure and mole fraction, show algebraically that the mole fraction of component A can be written as XA=PAPtotalX_A = \dfrac{P_A}{P_{\text{total}}}. Clearly state any assumptions you make.

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