The number of gas molecules effusing per second unit area through an orifice on the wall of the container is (1/4)·N*·uₐv, where N* is the number of molecules per unit volume. What is this number unde

Question

The number of gas molecules effusing per second unit area through an orifice on the wall of the container is (1/4)·N*·uₐv, where N* is the number of molecules per unit volume. What is this number under STP conditions for oxygen gas?

TestHub · Accepted Answer

At STP, N* = (6.022×10²³)/22.414×10⁻³ = 2.687×10²⁵·m⁻³; u av (O₂, 273·K) = √((8(8.314)(273))/)π(0.032) ≈ 425 m/s. Rate = 1/4N*u av = 1/4(2.687×10²⁵)(425) ≈ 2.86×10²⁷·m⁻²s⁻¹. Confirms Ans (c).

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