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15. Kinetic Theory Of Gases question bank (Physics)

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Q1.

The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of the electron $(e)$ accelerated from rest through a potential difference of $V$ volts is $E_2$. The temperature at which $E_1 = E_2$ is possible is (where $N_A$ is Avogadro's number, $k_B$ is Boltzmann constant, and $R$ is the gas constant):

(A)

$\frac{2eV}{3k_B}$

(B)

$\frac{2eV}{3R}$

(C)

$\frac{eV}{R}$

(D)

$\frac{3eV}{2R}$

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Q2.

The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of an electron $(e)$ accelerated from rest through a potential difference of $V$ volts is $E_2$. The temperature at which $E_1 = E_2$ is possible (assuming the mass of the molecule and electron are the same) is: (where $N$ is Avogadro's number, $e$ is the elementary charge, $R$ is the gas constant)

(A)

$\frac{2VNe}{3R}$

(B)

$\frac{VNe}{2R}$

(C)

$\frac{3NeV}{2R}$

(D)

$\frac{5NeV}{3R}$

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