Universal Gas Constant — Prelims Questions

An ideal gas occupies a volume of $20,\text{L}$ at $27^circ\text{C}$ and $2,\text{atm}$ pressure. If the gas is heated to $127^circ\text{C}$ at constant pressure, what will be its new volume? (Given $R = 0.0821,\text{L}cdot\text{atm/mol}cdot\text{K}$)

What is the value of the Universal Gas Constant ($R$) in $ext{J/mol}cdot\text{K}$ if $1,\text{mole}$ of an ideal gas at $0^circ\text{C}$ and $1,\text{atm}$ pressure occupies $22.4,\text{L}$?

Which of the following statements about the Universal Gas Constant ($R$) is INCORRECT?

If the molar specific heat capacity at constant volume ($C_V$) for an ideal diatomic gas is $rac{5}{2}R$, what is its molar specific heat capacity at constant pressure ($C_P$)?

A container holds $4,\text{g}$ of Helium gas (molar mass $4,\text{g/mol}$) at $27^circ\text{C}$ and $1,\text{atm}$ pressure. What is the volume of the gas? (Given $R = 0.0821,\text{L}cdot\text{atm/mol}cdot\text{K}$)

The Universal Gas Constant $R$ is equal to the product of Avogadro's number ($N_A$) and the Boltzmann constant ($k_B$). What does this relationship signify?