A) The pressure exerted by the gas is proportional to mean velocity of the molecule
B) The pressure exerted by the gas is proportional to the root mean velocity of the molecule
C) The root mean square velocity of the molecule is inversely proportional to the temperature
D) The mean translational kinetic energy of the molecule is proportional to the absolute temperature
Correct Answer: D
Solution :
[d]| pressure exerted by the gas, |
| \[P=\frac{1}{3}\frac{mn{{u}^{2}}}{V}..(1)\] |
| Here, u = root mean square velocity |
| \[m=\]Mass of a molecule, n = No. of molecules of the gas |
| Hence [a] & [b] are clearly wrong. |
| Again \[{{u}^{2}}=\frac{3RT}{M}\][explained from (1)] |
| Here, M=molecular wt. of the gas; |
| Hence [c] is wrong |
| Further, average K.E.=\[\frac{3}{2}\]KT; |
| Hence [d] is true |
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