The vessel contains a mixture of oxygen and nitrogen gases with an equal concentration of molecules.

| May 2, 2021 | education

The vessel contains a mixture of oxygen and nitrogen gases with an equal concentration of molecules. Compare the pressure exerted by oxygen and nitrogen on the walls of the vessel and the rms velocities of the molecules.

Data: nO2 (concentration of oxygen molecules) = nN2 (concentration of nitrogen molecules).

Const: MО2 – molar mass of oxygen (MО2 = 32 g / mol); MN2 is the molar mass of nitrogen (MN2 = 28 g / mol).

1) The ratio of the produced pressures: kp = PO2 / PN2 = nO2 * k * T / (nN2 * k * T) = nO2 / nN2 = 1 (the pressures are the same).

2) Ratio of root mean square velocities: kv = VO2 / VN2 = √ (3k * T / m0O2) / √ (3k * T / m0N2) = √ (m0N2 / m0O2) = √ ((MN2 / Na) / (MO2 / Na )) = √ (MN2 / MO2) = √ (28/32) ≈ 0.935 p.

Answer: The root mean square velocities of these gases differ by a factor of 0.935, and the pressures are the same.



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