Question

A bubble of air is underwater at temperature $15^{\circ}C$ and the pressure $1.5 \,bar$. If the bubble rises to the surface where the temperature is $25^{\circ}C$ 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

Answer: (B)

Volume will become greater by a factor of 1.6

Answer 2

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