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An air bubble of radius 2 mm is at a dep...

An air bubble of radius 2 mm is at a depth of 5 cm below the free surface of a liquid of surface tension 0.06 N/m and density 1000 kg/m`""^(3)`. The pressure inside the bubble is greater than the atmospheric pressure by `n xx 140 "N/m"^(2)`. Find the value of n.

Text Solution

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`r=2 mm =2 xx 10^(-3)m`
`S=0.007 N//m`
`h=5 cm =5 xx 10^(-2)m`
`p=1000 kg//m^(3)`
`[Pe]=(2S)/(r)+hpg`
`=(2 xx 0.07)/(2 xx 10^(-3)) +5 xx 10^(-2) xx 1000 xx 9.8`
`=70+490=560N//m^(2)`
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