Question 323: Thermodynamics & KTG

Question

For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $\gamma$ is the ratio of specific heats) :

Accepted Answer

for adiabatic expansion :
PV
$\gamma$
= const.
$ \Rightarrow $ ln P + $\gamma$ln v = const.
$ \Rightarrow $ differentiating both sides;
${{dp} \over p} + \gamma {{dv} \over v} = 0$
$ \Rightarrow {{dp} \over p} =  - \gamma {{dv} \over V}$

Answer

$ - {1 \over \gamma }{{dV} \over V}$

Answer

$ - \gamma {V \over {dV}}$

Answer

$ - \gamma {{dV} \over V}$

Answer

${{dV} \over V}$

Thermodynamics & KTG

For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where \gamma is the ratio of specific heats) :

Choose the correct answer: