Kinetic Theory of Gases

An ideal gas equation can be written as,$P=\frac{\rho\,RT}{M_{0}}$ where $\rho\,$ and $M_{0}$ are respectively,

Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules $(P)\frac{1}{3}nmv^{2}$ (B) Pressure exerted by ideal gas…

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

The temperature of a gas is $-50^{\circ}C$. To what temperature the gas should be heated so that the rms speed is increased by $3$ times?

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…

A monoatomic gas performs a work of $\frac{Q}{4}$ where $Q$ is the heat supplied to it. The molar heat capacity of the gas will be _____$R$ during this transformation. Where $R$ is the gas constant?

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…

$0.056\mathrm{kg}$ 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…

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…

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 :

A closed vessel contains $0.1$ mole of a monoatomic ideal gas at $200\text{K}$. If $0.05$ mole of the same gas at $400K$ is added to it, the final equilibrium temperature (in $\text{K}$) of the gas in the vessel will be…