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A weather ballon has a volume of 175 dm^...

A weather ballon has a volume of `175 dm^(3)` when filled with hydrogen gas at a pressure of `1*0` bar. Caculate the volume of the bolloon when it rises to a height where the atmospheric pressure is `0*8` bar. Assume that temperature is constant.

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The correct Answer is:
218.75 L
`V_(1)=175L" "p_(1)="1 bar"`
`V_(2)=?" "p_(2)="0.80 bar"`
Applying Boyle.s law,
`p_(1)V_(1)=p_(2)V_(2) or V_(2)=(p_(1)V_(1))/(p_(2))`
`V_(2)=(("1 bar")xx(175L))/("0.80 bar")="218.75 L."`
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