Kinetic Theory of Gases

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 uniform heating wire of resistance $36\Omega\,$is connected across a potential difference of $240V.$The wire is then cut into half and a potential difference of $240V$ is applied across each half separately. The ratio…

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…

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, $2$…

The root mean square speed of smoke particles of mass $5\times\,10^{-17}\mathrm{kg}$ in their Brownian motion in air at NTP is approximately. [Given $k=1.38\times\,10^{-23}JK^{-1}$]

When a gas filled in a closed vessel is heated by raising the temperature by $1^{\circ}C$, its pressure increases by $0.4%$ The initial temperature of the gas is _____$K$?

$\gamma_{\mathrm{A}}$ 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…

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is $\frac{\alpha\,^{2}}{4}RJ\mathrm{mol}K^{-1}$; then the value of $\alpha\,$ will be…

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…

A system consists of two types of gas molecules $A$and $B$ havingthe same number density $2\times\,10^{25}m^{-3}$. The diameter of $A$ and $B$ are $10A$ and $5A$ respectively. They suffer collisions at room temperature.…

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

The plot that depicts the behavior of the mean free time $\tau\,$ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature $\left(T\right),$ qualitatively, is: (Graphs are…