Kinetic Theory of Gases

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?

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…

The root-mean-square speed of molecules of a given mass of a gas at $27^{\circ}C$ and $1$ atmosphere pressure is $200ms^{-1}.$The root-mean-square speed of molecules of the gas at $127^{\circ}C$ and $2$ atmosphere…

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing $n$ mole of ideal gas can be written as $\Delta U = n…

Energy of 10 non rigid diatomic molecules at temperature $T$ is :

The pressure$(P)$and temperature$(T)$relationship of an ideal gas obeys the equation$PT^{2}=$constant. The volume expansion coefficient of the gas will be :

A vessel contains$16g$of hydrogen and$128g$of oxygen at standard temperature and pressure. The volume of the vessel in$cm^{3}$is :

According to kinetic theory of gases, A. The motion of the gas molecules freezes at$0^{\circ}C$. B. The mean free path of gas molecules decreases if the density of molecules is increased. C. The mean free path of gas…

A mixture of hydrogen and oxygen has volume$500cm^{3},$ temperature$300K,$ pressure$400kPa$and mass$0.76g.$The ratio of masses of oxygen to hydrogen will be:

A diatomic gas, having$C_{P}=\frac{7}{2}R$ and$C_{V}=\frac{5}{2}R,$ is heated at constant pressure. The ratio$dU:dQ:dW$

In a dilute gas at pressure $P$ and temperature '$t$', the time between successive collision of a molecule varies with $T$ as :

To raise the temperature of a certain mass of gas by$50^{\circ}C$at a constant pressure,$160$ calories of heat is required. When the same mass of gas is cooled by$100^{\circ}C$at constant volume,$240$calories of heat is…