Oxygen 1O22 has a molar mass of 32.0 g/mol. What is (a) the average translational kinetic energy of an oxygen molecule at a temperature of 300 K; (b) the average value of the square of its speed; (c) the rootmean- square speed; (d) the momentum of an oxygen molecule traveling at this speed? (e) Suppose an oxygen molecule traveling at this speed bounces back and forth between opposite sides of a cubical vessel 0.10 m on a side. What is the average force the molecule exerts on one of the walls of the container? (Assume that the molecule’s velocity is perpendicular to the two sides that it strikes.) (f) What is the average force per unit area? (g) How many oxygen molecules traveling at this speed are necessary to produce an average pressure of 1 atm? (h) Compute the number of oxygen molecules that are contained in a vessel of this size at 300 K and atmospheric pressure. (i) Your answer for part (h) should be three times as large as the answer for part (g). Where does this discrepancy arise?
Oxygen 1O22 has a molar mass of 32.0 g/mol. What is (a) the
average translational kinetic energy of an oxygen molecule at a temperature
of 300 K; (b) the average value of the square of its speed; (c) the rootmean-
square speed; (d) the momentum of an oxygen molecule traveling
at this speed? (e) Suppose an oxygen molecule traveling at this speed
bounces back and forth between opposite sides of a cubical vessel 0.10 m
on a side. What is the average force the molecule exerts on one of the
walls of the container? (Assume that the molecule’s velocity is perpendicular
to the two sides that it strikes.) (f) What is the average force per unit
area? (g) How many oxygen molecules traveling at this speed are necessary
to produce an average pressure of 1 atm? (h) Compute the number of
oxygen molecules that are contained in a vessel of this size at 300 K and
atmospheric pressure. (i) Your answer for part (h) should be three times as
large as the answer for part (g). Where does this discrepancy arise?
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