Question

A bubble of air is underwater at temperature ${15}^{o}C$ and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is ${25}^{o}C$ and the pressure is 1.0 bar, what will happen to the volume of the bubble?

• A. Volume will become greater by a factor of 2.5
• B. Volume will become greater by a factor of 1.6
• C. Volume will become greater by a factor of 1.1
• D. Volume will become smaller by a factor of 0.70

Answer 1

The correct option is B Volume will become greater by a factor of 1.6

$P_1=1.5bar$ $P_2=1$
$T_1=288K$ $T_2=298K$
$V_1=V$ $V_2=?$
$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$
$V_2=1.55V$