Question

Carbon disulfide (CS2)(CS2) has a vapor pressure of 300 Torr300 Torr at room temperature (almost half of atmospheric pressure). A sample of CS2CS2 at a temperature of ?=20.6∘CT=20.6∘C is contained in a vacuum chamber at a pressure of ?=200 TorrP=200 Torr in a research lab. The diameter of the CS2CS2 molecules is ?=2.00×10−10 m.d=2.00×10−10 m. The atomic mass of carbon is 12.0 g/mol12.0 g/mol and sulfur is 32.1 g/mol.32.1 g/mol.

Assuming that carbon disulfide has only translational degrees of freedom near room temperature, estimate the average time ?avgtavg between molecular collisions for the gas in the test chamber.

?avg=tavg=

s

Answer 1

- Ans & gay molecule aut temp is The mean tree path of x=kt fondre d = 1*36x1ö ?? (2006+ 273) Prxax (x101039 x 200 LOD. ..X133-322 X133-322 = 400516& X1021 407405781015 i=8-5468x107 The average moleculer speed of 22.6°C vs Ben - 737 5•314 x (3.006 4992) V 0.276 is olculate as v=310.4108 mis The means time between the collisen Haq = -511tfX187 310-4108 t =2.753 x 10 9 ser