Kinetic Theory Of Gases Question 29
Question: Consider a gas with density $ \rho $ and $ \overline{c} $ as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity, then the pressure exerted by the gas is
Options:
A) $ \frac{1}{3}\rho {{\bar{c}}^{2}} $
B) $ \frac{1}{3}\rho {{( c+\nu )}^{2}} $
C) $ \frac{1}{3}\rho {{( \bar{c}-\nu )}^{2}} $
D) $ \frac{1}{3}\rho {{( {{{\bar{c}}}^{2}}-\nu )}^{2}} $
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Answer:
Correct Answer: A
Solution:
[a] Pressure of the gas will not be affected by motion of the system, hence by $ v _{rms}=\sqrt{\frac{3P}{\rho }}\Rightarrow {{\bar{c}}^{2}}=\frac{3P}{\rho }\Rightarrow P=\frac{1}{3}p\bar{c} $
BETA
