So that's how small drops evaporate!

Classical Mechanics Level 3

Assume that a drop of liquid evaporates by a decrease in its surface energy so that its temperature remains unchanged. What should be the maximum radius of the drop for this to be possible?

Notations:

$T$ is the surface tension.
$\rho$ is the density of the liquid.
$L$ is its latent heat of vaporization.

So that's how small drops evaporate!

Adapted from JEE Mains 2013.