Kinetic Theory Of Gases Question 20

Question: The density of a gas is $ 6\times {{10}^{-2}}kg/m^{3} $ and the root mean square velocity of the gas molecules is 500 m/s. The pressure exerted by the gas on the walls of the vessel is

Options:

A) $ 5\times 10^{3}N/m^{2} $

B) $ 1.1\times {{10}^{-4}}N/m^{2} $

C) $ 0.83\times {{10}^{-4}}N/m^{2}~ $

D) $ 30N/m^{2} $

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Answer:

Correct Answer: A

Solution:

[a] $ P=\frac{1}{3}\rho v\overline{^{2}}=\frac{1}{3}\times (6\times {{10}^{-2}})\times {{(500)}^{2}} $

$ =5\times 10^{3}N/m^{2} $