Molar Heat Capacities — Prelims Questions

An ideal gas undergoes an isobaric process. If the molar heat capacity at constant volume is $C_v$, what is the heat absorbed by $n$ moles of the gas when its temperature increases by $\Delta T$?

For a gas, if the ratio of molar heat capacities $\gamma = 1.4$, what type of gas is it most likely to be, assuming room temperature?

If the molar heat capacity at constant pressure for an ideal gas is $29.1 \text{ J mol}^{-1}\text{ K}^{-1}$, what is its molar heat capacity at constant volume? (Given $R = 8.314 \text{ J mol}^{-1}\text{ K}^{-1}$)

Which of the following statements about molar heat capacities is INCORRECT for an ideal gas?

What is the internal energy of 3 moles of an ideal diatomic gas at $400 \text{ K}$? (Assume vibrational modes are not excited, $R = 8.314 \text{ J mol}^{-1}\text{ K}^{-1}$)

A gas has $C_v = 20.785 \text{ J mol}^{-1}\text{ K}^{-1}$. What is the value of $\gamma$ for this gas? (Given $R = 8.314 \text{ J mol}^{-1}\text{ K}^{-1}$)