Modern vacuum pumps permit the pressures down to 4.1 × 10^-14 atm to be reached at room temperature (27°C). Assuming that the gas exhausted is nitrogen, find the mean distance between the gas molecule

Question

Modern vacuum pumps permit the pressures down to 4.1 × 10^-14 atm to be reached at room temperature (27°C). Assuming that the gas exhausted is nitrogen, find the mean distance between the gas molecules remained at this pressure.

Prashant Kotian · Accepted Answer

Correct answer: C. volume per molecule v/n = kt/p = (1.38 × 10^-23 × 300) / (4.1 × 10^-14 × 1.013 × 10^5) = 9.97 × 10^-13 m^3 = 9.97 × 10^-7 cm^3. mean distance d ≈ (v/n)^(1/3) = (9.97 × 10^-7)^(1/3) ≈ 10^-2 cm = 0.01 cm.

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