Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from ${\tau _1}$ to ${\tau _2}$ . If ${{{C_p}} \over {{C_v}}} = \gamma $ for this gas then a good estimate for ${{{\tau _2}} \over {{\tau _1}}}$ is given by :

Question

${\left( 2 \right)^{{{1 + \gamma } \over 2}}}$

${\left( {{1 \over 2}} \right)^{{{1 + \gamma } \over 2}}}$

${\left( {{1 \over 2}} \right)^\gamma }$

Solution

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