The kinetic energy, due to translational motion, of most of the molecules of an ideal gas at absolute temperature $T$ is
A$kT$
B$k/T$
C$T/k$
D$1/kT$
Easy
Download our app for free and get started
A$kT$
a $K.E$ due to translational motion of most of the molecules of an ideal gas at absolute temperature $T$ is given by
$K \cdot E=\frac{3}{2} \cdot R T$
As the terms $(\frac {3}{2}R)$ is constant, $-K \cdot E=K \cdot T$.
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Nitrogen gas is filled in an insulated container. If $\alpha$ fraction of moles dissociates without exchange of any energy, then the fractional change in its temperature is ..............
Two ideal polyatomic gases at temperatures $T _{1}$ and $T _{2}$ are mixed so that there is no loss of energy. If $F _{1}$ and $F _{2}, m _{1}$ and $m _{2}, n _{1}$ and $n _{2}$ be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is
One kg of a diatomic gas is at a pressure of $8 × 10^4\ N/m^2$. The density of the gas is $4\ kg/m^3$. What is the energy of the gas due to its thermal motion ?
$14 \,g$ of $CO$ at $27^{\circ} C$ is mixed with $16 g$ of $O _2$ at $47^{\circ} C$. The temperature of mixture is .......... $^{\circ} C$ (vibration mode neglected)
A container is divided into two equal parts $I$ and $II$ by a partition with a small hole of diameter $d$. The two partitions are filled with same ideal gas, but held at temperatures $T_{ I }=150 \,K$ and $T_{ II }=300 \,K$ by connecting to heat reservoirs. Let $\lambda_{1}$ and $\lambda_{1 I}$ be the mean free paths of the gas particles in the two parts, such that $d >> \lambda_{ I }$ and $d >> \lambda_{ II }$. Then, the $\lambda_{ I } / \lambda_{ II }$ is close to
$310\,J$ of heat is required to raise the temperature of $2\,moles$ of an ideal gas at constant pressure from $25\,^oC$ to $35\,^oC$ . The amount of heat required to raise the temperature of the gas through the same range at constant volume is .... $J$
The $r.m.s.$ speed of the molecules of a gas in a vessel is $400$ $m{s^{ - 1}}$. If half of the gas leaks out, at constant temperature, the $r.m.s.$ speed of the remaining molecules will be ..... $ms^{-1}$