1.

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, he average time of collision between molecules increases as V^(q), where V is the volume of gas. The value of q is: (gamma =(C_(p))/(C_(v)))

Answer»

`(3 gamma -5)/(6)`
`(gamma +1)/(2)`
`(gamma-1)/(2)`
`(3 gamma +5)/(6)`

Solution :`tau =(l)/(v_(rms)) =(1)/(sqrt(2)pi d^(2)((N)/(V))sqrt((3RT)/(M)))" …(i)"`
`tau prop (V)/(sqrt(T))" ….(ii)"`
`TV^(gamma-1)=K"….(iii)"`
`THEREFORE tau prop V^((gamma+1)/(2))`
So CORRECT CHOICE is (b).


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