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The surface tension and vapour pressure ...

The surface tension and vapour pressure of water at `20^(@)C` is `7.28xx10^(-2)Nm^(-1)` and `2.33xx10^(3)Pa`, respectively. What is the radius of the smallest spherical water droplet which can form without evaporating at `20^(@)C`?

Text Solution

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The evaporation of the drop occurs when the pressure due to water is more than the vapour pressure. Excess pressure in the drop is:
`p=(2T)/(r)=2.33 xx 10^(3)Pa`
`r=(2T)/(p) =(2(7.28 xx 10^(-2)))/(2.33 xx 10^(3))`
`=6.25 xx 10^(-5)m`
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