Avogadro's Number — Prelims Questions

An ideal gas at $27^circ\text{C}$ has a pressure $P$ and volume $V$. If the gas contains $N$ molecules, what is the average translational kinetic energy of a single gas molecule? (Given: Boltzmann constant $k_B = 1.38 \times 10^{-23} \text{ J K}^{-1}$)

A container holds 2 moles of an ideal gas. If the molar mass of the gas is $32,\text{g/mol}$, what is the total number of molecules in the container? (Given: Avogadro's number $N_A = 6.022 \times 10^{23} \text{ mol}^{-1}$)

If the ideal gas constant $R = 8.314 \text{ J mol}^{-1} \text{ K}^{-1}$ and Avogadro's number $N_A = 6.022 \times 10^{23} \text{ mol}^{-1}$, what is the value of the Boltzmann constant ($k_B$)?

Which of the following statements about Avogadro's number is INCORRECT?

A gas cylinder contains $16,\text{g}$ of oxygen gas ($O_2$). If the molar mass of oxygen is $32,\text{g/mol}$, calculate the number of moles of oxygen gas present. (Given: Avogadro's number $N_A = 6.022 \times 10^{23} \text{ mol}^{-1}$)

An ideal gas occupies a volume of $0.025,\text{m}^3$ at a pressure of $1.5 \times 10^5,\text{Pa}$ and a temperature of $300,\text{K}$. How many molecules are present in the gas? (Given: Boltzmann constant $k_B = 1.38 \times 10^{-23} \text{ J K}^{-1}$)