If the pressure of a gas is doubled and the temperature is tripled, by how much will the mean free path of a gas molecule in a vessel change?

Options

A. Increase `3` times
B. Decrease `3` times
C. Increase `1.5` times
D. Decrease `1.5` times

Explanation

`lambda_(1)=(T_(1))/(P_(1))`, `lambda_(2)=(T_(2))/(P_(2))`
`:. (lambda_(2))/(lambda_(1))=(T_(2)xxP_(1))/(T_(2)xxT_(1))=(3T_(1)xxP_(1))/(2P_(1)xxT_(1))=(3)/(2)`
`lambda_(2)=(3)/(2)lambda_(1)`