Embibe Experts Solutions for Chapter: Kinetic Theory of Gases, Exercise 2: Exercise - 2

The volume thermal expansion coefficient of an ideal gas at constant pressure is

(Here $T=$ absolute temperature of gas)

Two identical rooms in a house are connected by an open doorway. The temperatures in the two rooms are maintained at two different values. Therefore,

Two moles of hydrogen are mixed with $n$ moles of helium. The root-mean-square speed of gas molecules in the mixture is $\sqrt{2}$ times the speed of sound in the mixture. Then, $n$ is,

Consider a collision between an argon molecule and a nitrogen molecule in a mixture of argon and nitrogen kept at room temperature. Which of the following are possible?

An ideal gas of one mole is kept in a rigid container of negligible heat capacity. If $25 \mathrm{J}$of heat is supplied, the gas temperature raises by $2°\mathrm{C}$. Then, the gas may be,

Graph shows a hypothetical speed distribution for a sample of $N$ gas particle $(\text{for }V>V_0, \frac{dN}{ dV}=0)$.

The following sets of values for $C_{\mathrm{v}}$ and $C_{\mathit{p}}\mathit{ }$of an ideal gas have been reported by different students. The units are $\mathrm{cal} {\mathrm{mol}}^{–1} {\mathrm{K}}^{–1 }$. Which of these sets is most reliable ?

Let $n_1$ and $n_2$ moles of two different ideal gases be mixed. If adiabatic coefficient of the two gases are ${\mathrm{\gamma }}_1$ and ${\mathrm{\gamma }}_2$, respectively, then adiabatic coefficient $\mathrm{\gamma }$ of the mixture is given through the relation