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} $