The values of $C_P$ and $C_V$ for a gas were measured by three different students. The unit is $\text{cal/g mol-K}$. Which set is the most reliable?

When an ideal monoatomic gas is heated at constant pressure,the fraction of heat energy supplied that increases the internal energy of the gas is:

$5$ moles of oxygen is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$. The change in the internal energy of the gas is (given $C_p = 8 \text{ cal/mole } ^{\circ}C$ and $R = 2 \text{ cal/mole } ^{\circ}C$ approximately).

According to the law of equipartition of energy, the molar specific heat of a diatomic gas at constant volume, where the molecule has one additional vibrational mode, is:

$C_{v}$ and $C_{p}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure,respectively. Then
$(A)$ $C_{p}-C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(B)$ $C_{p}+C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(C)$ $C_{p} / C_{v}$ is larger for a diatomic ideal gas than for a monoatomic ideal gas
$(D)$ $C_{p} \cdot C_v$ is larger for a diatomic ideal gas than for a monoatomic ideal gas

The quantity of heat required to raise the temperature of one mole of a monoatomic gas by one degree Kelvin at constant volume is