A) \[\frac{1}{\sqrt{d}}\]
B) \[d\]
C) \[\sqrt{d}\]
D) \[{{d}^{2}}\]
Correct Answer: A
Solution :
Kinetic gas equation, for one mole gas is\[pV=\frac{1}{3}M{{u}^{2}}\]where, p = pressure of gas V = volume of gas M = molecular mass of gas u = root mean square velocity \[\Rightarrow \] \[\frac{M{{u}^{2}}}{3}=pV\] or \[u=\sqrt{\frac{3pV}{M}}\] or \[u=\sqrt{\frac{3p}{d}}\] \[\left\{ d=\frac{M}{V} \right\}\] If pressure is constant, then \[u\propto \sqrt{\frac{1}{d}}\]
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