1. What is the total translational kinetic energy of the gas in a room filled with nitrogen at a pressure of 1.00 atm an

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1. What is the total translational kinetic
energy of the gas in a room filled with nitrogen at a pressure of
1.00 atm and a temperature of 20.7°C? The dimensions of the
room are 4.60 m ´ 5.20 m ´ 8.80 m. Boltzmann
constant = 1.38 × 10-23 J/K, R = 8.314
J/mol ∙ K, and NA = 6.02 ×
1023 molecules/mol. (1 atm =
1.013 ´ 105 Pa)
2. At what temperature would the root mean square speed of
oxygen (O2) molecules be 14 m/s? Oxygen is assumed to
approximate an ideal gas. The mass of one
O2 molecule is
5.312 ´ 10−26 kg.