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PRACTICE · MEMBERSIntermediate · Single correct

PRACTICE / Molecular mean free path

Change collision size and density

Two dilute hard-sphere gases are at the same temperature. Gas B has three times the pressure of gas A and twice its molecular collision diameter.

Find the ratio ℓB/ℓA of mean free paths.

Organize the givens & assumptions
  • pB/pA = 3
  • dB/dA = 2
  • TB = TA

Identical-particle hard-sphere model within each gas; ideal-gas number density; compare equilibrium states at equal absolute temperature.

  1. A4/34/3
  2. B1/121/12
  3. C1/61/6
  4. D1/31/3

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