4. Thermal Physics

Ideal Gases — Quiz

Test your understanding of ideal gases with 5 practice questions.

Practice Questions

Question 1

Which expression gives the average molecular speed $\langle v\rangle$ of an ideal gas according to the Maxwell–Boltzmann distribution?

Question 2

Calculate the average molecular speed $\langle v\rangle$ for nitrogen at $T=300\,$K. (Molar mass $M=0.028\,\mathrm{kg/mol}$, $R=8.31\,\mathrm{J/(mol\cdot K)}$.)

Question 3

When plotting $\ln P$ versus $\ln V$ for an isothermal process of an ideal gas, the graph is a straight line with slope equal to what?

Question 4

During an isobaric heating of $2.0$ moles of a monatomic ideal gas from $300\,$K to $500\,$K, how much heat $Q$ is added? (Use $C_{p}=\tfrac{5}{2}R$, $R=8.31\,\mathrm{J/(mol\cdot K)}$.)

Question 5

What is the heat capacity ratio $\gamma=C_{p}/C_{v}$ for a monatomic ideal gas?