1.

A gas- filled freely collapsible balloon is pushed from the surface level of a lake to a depth of `100 m`. Approximately what percentage of its original volume will the balloon finally have? Assume that the gas behaves ideally

Answer» Let the volume of balloon at the surface of the lake be `V`.
`P=1 atm=76xx13.6xx981 dyn cm^(-1)`
`=981xx1033.6`
Pressure at the depth of `100 m`
`=76xx13.6xx981+100xx100xx1xx981`
`=981(76xx13.6xx10000)`
`=981xx11033.6`
`P_(1)V_(1)=P_(2)V_(2)`
`981xx1033.6xxV=981xx11033.6xxV_(2)`
`V_(2)=(1033.6)/(11033.6)xxV`
`=(1033.6xxV)/(11033.6xxV)xx100%`
`=9.67%`


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