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Kinetic Theory of Gases question bank (Physics)

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Q1.

The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately
(Mass of carbon dioxide molecule $= 7 \times 10^{-26}\ \text{kg}$, Boltzmann's constant $k_B = 14 \times 10^{-24}\ J/K$, escape velocity from Earth's surface $= 11\ \text{km/s}$)

(A)

$2.016 \times 10^5\ \text{K}$

(B)

$4.032 \times 10^5\ \text{K}$

(C)

$5.016 \times 10^5\ \text{K}$

(D)

$3.012 \times 10^5\ \text{K}$

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Q2.

The internal energy per molecule for a diatomic (non-rigid) gas is (where $k_B$ is Boltzmann's constant and $T$ is absolute temperature).

(A)

$\dfrac{3}{2}k_B T$

(B)

$\dfrac{5}{2}k_B T$

(C)

$\dfrac{7}{2}k_B T$

(D)

$k_B T$

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