An ideal gas undergoes a process in which its pressure P and volume V are related by $PV^n = constant$, where n is a constant. If the gas expands adiabatically ($n = \gamma$, where $\gamma = C_P/C_V$), which of the following statements is TRUE regarding the work done by the gas?

When gases are heated from 20\,^\circ C to 40\,^\circ C at constant pressure, the volume:

A container holds 4 g of helium at a pressure of 2 atm and a temperature of 300 K. If 8 g of oxygen is added to the container while maintaining the same volume and temperature, what is the new total pressure?

At what temperature will the average translational kinetic energy of a gas molecule be equal to the energy required to break a bond of energy 2 eV? (Boltzmann constant $k_B = 1.38 imes 10^{-23} J/K$, $1 eV = 1.6 imes 10^{-19} J$)

An open vessel at 27\,^\circ C  is heated until 3/8th of the air in it has been expelled. Assuming that the volume remains constant, calculate the temperature at which the vessel was heated

$5\,{\rm{g}}$ each of the following gases at 87\,^\circ C and $750\,{\rm{mm}}$ pressure are taken. Which of them will have the least volume?

The density of ${N_2}$ gas at 0.821 atmospheric pressure and ${7^0}C$

$10{\rm{g}}$ of hydrogen fluoride gas occupy 5.6 litre of volume at NTP. The empirical formula of the gas is HF. The molecular formula of the gas will be $(at.{\rm{ }}Wt.{\rm{ }}of{\rm{ }}fluorine = 19)$

At a constant pressure, what should be the percentage increase in the temperature in Kelvin for a $10\%$ increase in volume?

A gas at 298 K is shifted from a vessel of $250\,\,{\rm{c}}{{\rm{m}}^3}$ capacity to that of 1 L capacity. The pressure of the gas will

A preweighted vessel was filled with ${\rm{C}}{{\rm{O}}_2}$ at STP and weighed. It was then evaluated, filled with ${\rm{S}}{{\rm{O}}_2}$ at the same temperature and pressure and again weighted. The weight of the ${\rm{C}}{{\rm{O}}_2}$ will be