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A small bubble rises from the bottom of ...

A small bubble rises from the bottom of a lake, where the temperature and pressure are `8^(@)C` and 6.0 atm, to the water's surface, where the temperature is `25^(@)C` and pressure is 1.0 atm. Calulate the final volume of the bubble if its initial volume was 2 mL.

A

`14mL`

B

`12.72mL`

C

`11.31mL`

D

`15mL`

Text Solution

Verified by Experts

The correct Answer is:
B
The volume of the gas in the bubble remains constant, so that `n_(1)=n_(2)`. To calculate the final volume , `V_(2)`,
`V_(2)=V_(1)xx(P_(1))/(P_(2))xx(T_(2))/(T_(1))`
`=2.0mL xx(6.0atm)/(1.0atm)xx(280K)/(281K)=12.72mL`
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