A container encloses 1.3 mol of an ideal gas that has molar mass M1 and 0.54 mol

Question

A container encloses 1.3 mol of an ideal gas that has molar mass M1 and 0.54 mol of a second gas that has a molar mass of M2 = 7.0M1. What fraction of the total pressure on the container wall is attributable to the second gas? (The kinetic theory explanation of pressure leads to the experimentally discovered law of partial pressures for a mixture of gases that do not react chemically: The total pressure exerted by the mixture is equal to the sum of the pressures that the several gases would exert separately if each were to occupy the vessel alone.)

Explanation / Answer

call the partial pressures of the two gases P1 and P2

the total pressure

P = P1 + P2

each pressure is given by

Pi = ni R T / V

P2 / P = P2 / (P1 + P2)

= n2 / (n1 + n2) is the fraction of the pressure due to the second gas

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