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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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