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`. Calculate the final volume of the bubble if its initial volume was `2mL`.

Options

A. `14mL`
B. `12.72mL`
C. `11.31mL`
D. `15mL`

Answer

B

Explanation

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`