Molecular Flux

Question:
The expression for a molecular flux is given by

where n^∗ is a molecular density, and < v > is average molecular velocity.
Assume an ideal-gas behavior for the system of gas molecules near a surface at pressure P and temperature T.
a) Calculate a function J_N , the numver of molecules striking a surface of unit area per unit time at these conditions.
b) How many nitrogen molecules will strike a 1.0cm² surface in 1.0 s at T=298K and a gas pressure of P = 1.05 × 10⁻⁶ Pa?

Solution:
a) For ideal-gas behavior, we have,

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