The average translational kinetic energy of N | vedclass

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

Question

(D) The average translational kinetic energy of a gas molecule is given by $\frac{3}{2} k_B T$,where $k_B = \frac{R}{N_A}$. For $N$ molecules,the tota

Vedclass · Accepted Answer

$\frac{2 V N e}{3 R}$

Vedclass · Answer

(D) The average translational kinetic energy of a gas molecule is given by $\frac{3}{2} k_B T$,where $k_B = \frac{R}{N_A}$. For $N$ molecules,the total average translational kinetic energy is $E_1 = \frac{3}{2} \left( \frac{R}{N_A} \right) T$. However,given the context of $N$ molecules,we use $E_1 = \frac{3}{2} \left( \frac{R}{N} \right) T$.The kinetic energy of an electron accelerated from rest through a potential difference $V$ is $E_2 = eV$.Setting $E_1 = E_2$:$\frac{3}{2} \left( \frac{R}{N} \right) T = eV$Solving for $T$:$T = \frac{2 N eV}{3 R}$.

The average translational kinetic energy of $N$ molecules in a gas is $E_1$. The kinetic energy of the electron $(e)$ accelerated from rest through potential difference $V$ volt is $E_2$. The temperature at which $E_1=E_2$ is possible is ( $R=$ gas constant,$N=$ number of molecules).

Similar Questions

$A$ closed cylindrical vessel contains $N$ moles of an ideal diatomic gas at a temperature $T$. On supplying heat,the temperature remains the same,but $n$ moles dissociate into atoms. The heat supplied is .........

An ideal gas $(\gamma = 1.5)$ is expanded adiabatically. How many times must the gas be expanded to reduce the root mean square velocity of the molecules $2.0$ times?

$CO_2$ $(O-C-O)$ is a triatomic gas. The mean kinetic energy of one gram of the gas will be (where $N$ is Avogadro's number,$k$ is Boltzmann's constant,and the molecular weight of $CO_2 = 44$).

The number of air molecules per $cm^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision frequency of air molecules before and after the increase in number respectively is $.........$

Which graph represents the molar heat capacity at constant volume $(C_V)$ for a monoatomic gas?

Vedclass Test Series

Exam Paper Generator

Online Exam Module