Question 381: 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: