A small bubble rises from the bottom of a lake where the temperature and presssure are `6^(@)C` and 4atm. To the water surface, where the temperature is `25^(@)C` and pressure is 1 atm. Calculate the final volume in (ml) of the bubble, if its initial volume is 1.5 mL.

Explanation

`T_(1)=6^(@)C+273=279K`
`P_(1)=4" atm "V_(1)=1.5ml`
`T_(2)=25^(@)C+273=298K`
`P_(2)=1" atm "V_(2)=?`
`(P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
`V_(2)=(P_(1)V_(1))/(T_(1))xx(T_(2))/(P_(2))=(4cancel("atm)xx1.5mlxx298cancel(K))/(279cancel(K)xx1cancel(atm))`
`V_(2)=6.41ml`.