What will happen to volume of a bubble of air found under water in a lake where temperature is `15^(@)C` and the pressure is 1.5 atm, if the bubble rises to the surface where the temperature is `25^(@)C` and the pressure is 1.0 atm?

Options

A. its volume will becomes greater by a factor of 2.5
B. its volume will become greater by a factor of 1.6
C. its volume will become greater by a factor of 1.1
D. its volume will become smaller by a factor

Answer

B

Explanation

`(P_(1)V_(1))/T_(1)=(P_(2)V_(2))/T_(2)`
`(1.5 atm xxV_(1))/(288 K)=(1 atm xxV_(2))/(298)`
`:. V_(2)=1.6xxV_(1)`