Heat Capacity — Prelims Questions

The molar heat capacity of an ideal gas at constant volume ($C_{V,m}$) is $12.47,J,mol^{-1},K^{-1}$. What is its molar heat capacity at constant pressure ($C_{P,m}$)? (Given: $R = 8.314,J,mol^{-1},K^{-1}$)

Which of the following statements is TRUE regarding heat capacity?

Calculate the amount of heat required to raise the temperature of $100\,\text{g}$ of copper from $20,^\circ\text{C}$ to $80,^\circ\text{C}$. The specific heat capacity of copper is $0.385,J,g^{-1},^\circ\text{C}^{-1}$.

An ideal monatomic gas has a molar heat capacity at constant volume ($C_{V,m}$) of $\frac{3}{2}R$. What is the ratio of its heat capacities, $\gamma = C_{P,m}/C_{V,m}$?

A $2.0\,\text{mol}$ sample of an ideal gas is heated from $25,^\circ\text{C}$ to $75,^\circ\text{C}$ at constant pressure. If its molar heat capacity at constant pressure ($C_{P,m}$) is $29.1,J,mol^{-1},K^{-1}$, calculate the heat absorbed by the gas.

Which type of gas would typically have the highest value for $\gamma = C_P/C_V$ at room temperature?