A laboratory vacuum pump can generate a vacuum of about 1 nTorr at 27°C. Assuming that air consists of N2 molecules with a collision diameter of 395 pm, calculate (a) the mean speed of the molecules, (b) the mean free path, (c) the collision frequency in the gas. Given that Boltzmann constant 1.38×10−23 J⋅K −1, nano refers to 10-9 and Pico refers to 10-12, 1 torr = 133.22 Pascals, molar mass of nitrogen is 14.01 g/mo

Chemistry: Principles and Reactions
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Chapter5: Gases
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Problem 27QAP: The gas in the discharge cell of a laser contains (in mole percent) 11% CO2, 5.3% N2, and 84% He....
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A laboratory vacuum pump can generate a vacuum of about 1 nTorr at 27°C. Assuming that
air consists of N2 molecules with a collision diameter of 395 pm, calculate (a) the mean speed
of the molecules, (b) the mean free path, (c) the collision frequency in the gas. Given that
Boltzmann constant 1.38×10−23 J⋅K
−1, nano refers to 10-9 and Pico refers to 10-12, 1 torr = 133.22
Pascals, molar mass of nitrogen is 14.01 g/mol.

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