Kinetic Theory of Gases

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?

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

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…

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

A metal ball of mass $0.1 \mathrm{~kg}$ is heated upto $500^{\circ} \mathrm{C}$ and dropped into a vessel of heat capacity $800 \mathrm{JK}^{-1}$ and containing $0.5 \mathrm{~kg}$ water. The initial temperature of water…

An unknown metal of mass$192g$heated to a temperature of$100^{\circ}C$was immersed into a brass calorimeter of mass$128g$containing$240g$of water at a temperature of$8.4^{o}C.$Calculate the specific heat of the unknown…

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 molecules of a given mass of gas have RMS velocity of \$200$ \$ms^{-1}$ at \$27^{o}C$ and \$1.0\times10^{5}Nm^{-2}$ pressure. When the temperature and pressure of the gas are respectively, \$127^{o}C$ and…

The ratio of the specific heats CPCv= $\gamma$ in terms of degrees of freedom (n) is given by:

The mean free path of molecules in an ideal gas A is half that of another ideal gas B. The diameter of the spherical molecules of gas A is twice the diameter of the molecules of B. If number densities of the gases A and…

An ideal gas is made of polyatomic molecules. Each of the molecules has three translational, three rotational and $f$ number of vibrational modes. If the ratio of heat capacities $C_P/C_V$ of the gas is $8/7$, then the…

A flask contains argon and chlorine in the ratio of $2:1$ by mass. The temperature of the mixture is $27^\circ$C. The ratio of root mean square speed of the molecules of the two gases…