1. Boltzmann statistics are used to find the distribution ordistribution of the velocity of Inert gas at any temperature. If D(v) is the velocity distribution of inert gas at T, then theprobability that atoms (or Molecules) of inert gas have velocity inthe dv range is equal to D (v) dv, where
D (v) dv = 4Ï€ (m / 2Ï€kT) ^ 3â„2 (v ^ 2) e ^ (- mv2â„2kT) dv
2.1 Draw the graph between D (v) and v when the inert gas has atemperature of 1000 K (Recommended: Use a program such asMathematica) to explain. Graph style
2.2 In the Thermosphere atmosphere, which is 100 - 150 km above theearth, the temperature is around 1000 K. Find the probability
Is that the nitrogen gas molecules will escape from gravity. Inwhich the molecules must be faster than the velocity From theearth's surface, which is equal to 11 km / s (recommended: forintegration D (v) dv, use the program For exampleMathematica)
2.3 The lunar surface velocity is 2.4 km / s. Find the probabilitythat the nitrogen gas molecules will escape from the force. Gravityof the moon And explain that Why does the moon have no atmosphere?(Recommended: set the temperature of the moon's surface toequal1000 K)
