States of Matter 1 Question 29
29. According to kinetic theory of gases, for a diatomic molecule
(1991, 1M)
(a) the pressure exerted by the gas is proportional to mean velocity of the molecule
(b) the pressure exerted by the gas is proportional to the root mean velocity of the molecule
(c) the root mean square velocity of the molecule is inversely proportional to the temperature
(d) the mean translational kinetic energy of the molecule is proportional to the absolute temperature
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Solution:
- The mean translational kinetic energy $(\epsilon)$ of an ideal gas is $\in=\frac{3}{2} k_{B} T ; T=$ Absolute temperature, i.e. $\in \propto T$
