A bubble of air is underwater at temperature `15^(@)C` and the pressure `1.5` bar. If the bubble rises to the surface where the temperature is `25^(@)C` and the pressure is `1.0` bar, what will happen to the volume of the bubble?

Options

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 greater by a factor of 0.70

Answer

B

Explanation

`P_1=1.5` bar
`P_2=1`
`T_1=288K`
`T_2=298K`
`V_1=V`
`V_2=?`
`(P_1V_1)/(T_1)=(P_2V_2)/(T_2)`
`V_2=1.55V`