Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius of the drop for this to be possible is. (The surface tension

Question

Assume that a drop of a liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. The minimum radius of the drop for this to be possible is. (The surface tension is T , the density of the liquid is ρ and L is its latent heat of vaporisation.)

TestHub · Accepted Answer

When radius is decreased by dr Decrease in surface energy = Heat required for vaporisation 8 π rdr × T = 4 π r 2 dr ρ L ⇒ r = 2 T ρ L

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