The absolute temperature of a gas is determin | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to the kinetic theory of gases,the absolute temperature $T$ of an ideal gas is related to the average kinetic energy of its molecules.Th

Vedclass · Accepted Answer

the mean square velocity of the molecules.

Vedclass · Answer

(D) According to the kinetic theory of gases,the absolute temperature $T$ of an ideal gas is related to the average kinetic energy of its molecules.The average kinetic energy per molecule is given by $\frac{1}{2} m v_{rms}^2 = \frac{3}{2} k_B T$,where $m$ is the mass of a molecule,$v_{rms}$ is the root mean square velocity,and $k_B$ is the Boltzmann constant.From this relation,we can see that $T \propto v_{rms}^2$.Therefore,the absolute temperature is directly proportional to the mean square velocity of the molecules.

The absolute temperature of a gas is determined by

Similar Questions

The temperature of a gas is doubled $(i)$ on the absolute scale and $(ii)$ on the centigrade scale. The increase in the root mean square velocity of the gas will be:

If the molecular weights of two gases are $M_1$ and $M_2$,then at a constant temperature,the ratio of their root mean square velocities $v_1$ and $v_2$ will be:

The temperature of an ideal gas is increased from $120 \ K$ to $480 \ K.$ If at $120 \ K,$ the root mean square velocity of the gas molecules is $v,$ at $480 \ K$ it becomes

To what temperature should the hydrogen at room temperature $(27^{\circ}C)$ be heated at constant pressure so that the $R.M.S.$ velocity of its molecules becomes double of its previous value?

Six molecules of an ideal gas have velocities $1, 3, 5, 5, 6$ and $5 \,m/s$ respectively. At any given temperature,if $\overline{V}$ and $V_{rms}$ represent average and rms speed of the molecules,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module