Direction for: In each of the following questions a statement of Assertion is given followed by a corresponding statement of Reason just below it. Of the statements mark the correct answer as
Assertion: Mean free path of a gas molecules varies inversely as density of the gas. Reason: Mean free path varies inversely x pressure of the gas.A) If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If both Assertion and Reason are false.
Correct Answer: B
Solution :
The mean free path of a gas molecule is the average distance between two successive collisions. It is represented by \[\lambda \]. \[\lambda =\frac{kT}{\sqrt{2}\pi {{\sigma }^{2}}\rho }\] Here, \[\sigma =0\] diameter of molecule and k = Boltzmanns constant. Hence, mean free path varies inversely as density of the gas. It can be easily proved that the mean free path varies directly as the temperature and inversely as the pressure of the gas.
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