Carbon disulfide (CS2) has a vapor pressure of 300 Torr at room temperature (almost half of atmospheric pressure). A sample of CS2 at a temperature of ?=23.6∘C is contained in a vacuum chamber at a pressure of ?=250 Torr in a research lab. The diameter of the CS2 molecules is ?=3.13×10−10 m. The atomic mass of carbon is 12.0 g/mol and sulfur is 32.1 g/mol.
Assuming that carbon disulfide has only translational degrees of freedom near room temperature, estimate the average time ?avg between molecular collisions for the gas in the test chamber.
?avg=? s
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