Kinetic Theory of Gases

The volume occupied by the molecules contained in $4.5\mathrm{kg}$ water at STP, if the intermolecular forces vanish away is

Two spherical soap bubbles of radii $r_{1}$ and $r_{2}$ in vacuum combine under isothermal conditions. The resulting bubble has a radius equal to:

A balloon carries a total load of $185\mathrm{kg}$ at normal pressure and temperature of $27^{\circ}C.$What load will the balloon carry on rising to a height at which the barometric pressure is $45\mathrm{cm}$ of…

A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature $50^{\circ} \mathrm{C}$. The gas is now heated to double its temperature. The modified pressure is $\_\_\_\_$ Pa. Note: Volume…

$\gamma_{\mathrm{A}}$ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. $\gamma_B$ is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of…

A monoatomic gas of mass $4.0u$ is kept in an insulated container. The container is moving with velocity $30ms^{-1}$. If the container is suddenly stopped then a change in temperature of the gas ($R=$gas constant)is…

$0.056\mathrm{kg}$ of Nitrogen is enclosed in a vessel at a temperature of $127^{\circ}C$. The amount of heat required to double the speed of its molecules is_____$\mathrm{kcal}$. (Take…

Nitrogen gas is at $300^{\circ}C$ temperature. The temperature (in $K$) at which the rms speed of a $H_{2}$ molecule would be equal to the rms speed of a nitrogen molecule, is $\ldots\,\ldots\,\ldots\,.$(Molar mass of…

The average kinetic energy of a monatomic molecule is $0.414\mathrm{eV}$ at temperature: (Use $K_{B}=1.38\times\,10^{-23}J\mathrm{mol}^{-1}K^{-1}$)

Which of the following shows the correct relationship between the pressure $'P'$ and density $\rho\,$ of an ideal gas at constant temperature ?

The temperature of a gas having $2.0\times\,10^{25}$molecules per cubic meter at $1.38\mathrm{atm}$ (Given, $k=1.38\times\,10^{-23}JK^{-1})$ is :

Match List I with List II: List I List II (A) $3$Translational degrees of freedom (I) Monoatomic gases (B) $3$ Translational, $2$ rotational degrees of freedoms (II) Polyatomic gases (C) $3$ Translational, $2$…