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A bubble of air is underwater at tempera...

A bubble of air is underwater at temperature `15 .^(@)C` and 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 ?

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

Text Solution

Verified by Experts

The correct Answer is:
B
`(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)`
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