Some O2 gas is enclosed in a container (volume of 1.5 L), given that ro2 is 210 pm and van der Waals constants of O2: a = 1.36 L2-atm mol 2 and b = 0.0324 L mol1. (a) Determine the fraction of O2 molecules moving at a speed of vmp at the Boyle temperature (TB).

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Some O2 gas is enclosed in a container (volume of 1.5 L),
given that ro2 is 210 pm and van der Waals constants of O2: a
= 1.36 L2-atm mol2 and b = 0.0324 L mol1.
%3D
(a)
Determine the fraction of O2 molecules
moving at a speed of vmp at the Boyle temperature (TB).
(b)
In a single figure, draw the Maxwell speed
distribution for the O2 gases in the container:
(i)
860 Torr of O2 gas at TB
(ii)
720 Torr of O2 gas at 25 °C
Support your answer with detailed numerical work and
indicate clearly the position of vmp, relative peak height and
area of the distributions.
(c)
Determine the total collision frequency and
average distance travelled between successive collisions of
the O2 gas in (b)(i).
Transcribed Image Text:Some O2 gas is enclosed in a container (volume of 1.5 L), given that ro2 is 210 pm and van der Waals constants of O2: a = 1.36 L2-atm mol2 and b = 0.0324 L mol1. %3D (a) Determine the fraction of O2 molecules moving at a speed of vmp at the Boyle temperature (TB). (b) In a single figure, draw the Maxwell speed distribution for the O2 gases in the container: (i) 860 Torr of O2 gas at TB (ii) 720 Torr of O2 gas at 25 °C Support your answer with detailed numerical work and indicate clearly the position of vmp, relative peak height and area of the distributions. (c) Determine the total collision frequency and average distance travelled between successive collisions of the O2 gas in (b)(i).
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