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21. Kinetic Theory of Ideal Gases

Average Kinetic Energy of Gases

21. Kinetic Theory of Ideal Gases

Average Kinetic Energy of Gases

Multiple Choice
In a sample of gas, you pick a particle at random. The mass of the particle is 1.67 × 10^-27 kg and you measure its speed to be 1600 m/s. If that particle's kinetic energy is equal to the average kinetic energy of the gas particles, what is the temperature of the sample of gas?
Open Question
Oxygen (O2) 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;
Open Question
A 6.0 m ✕ 8.0 m ✕ 3.0 m room contains air at 20℃. What is the room's thermal energy?
Open Question
The rms speed of the atoms in a 2.0 g sample of helium gas is 700 m/s. What is the thermal energy of the gas?
Open Question
Liquid helium boils at 4.2 K. In a flask, the helium gas above the boiling liquid is at the same temperature. What are (a) the mean free path in the gas, (b) the rms speed of the atoms, and (c) the average energy per atom?
Open Question
1.0 mol of argon has 3100 J of thermal energy. What is the gas temperature in °C?
Open Question
The molecules in a six-particle gas have velocitiesv₁ = (20î ─ 30ĵ) m/sv₂ = (40î + 70ĵ) m/sv₃ = (─80î + 20ĵ) m/sv₄ = 30î m/sv₅ = (40î ─ 40ĵ) m/sv₆ = (─50î ─ 20ĵ) m/sCalculate (a) →vₐᵥ₉ , (b) vₐᵥ₉, and (c) vᵣₘₛ.