Serway & Jewett — The Kinetic Theory of Gases: Problem 29.

The dimensions of a classroom are $4.20\text{ m} \times 3.00\text{ m} \times 2.50\text{ m}$. (a) Find the number of molecules of air in the classroom at atmospheric pressure and $20.0^\circ\text{C}$. (b) Find the mass of this air, assuming the air consists of diatomic molecules with molar mass $28.9\text{ g/mol}$. (c) Find the average kinetic energy of the molecules. (d) Find the rms molecular speed. (e) What If? Assume the molar specific heat of the air is independent of temperature. Find the change in internal energy of the air in the room as the temperature is raised to $25.0^\circ\text{C}$. (f) Explain how you could convince a fellow student that your answer to part (e) is correct, even though it sounds surprising.