1)

Assume that a drop of liquid evaporates by decrease in its surface energy so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is T, the density of liquid  is $\rho$   and L is its talent heat of vaporization


A) $\rho$ L/T

B) $\sqrt{T/\rho L}$

C) T/ $\rho$ L

D) 2T/ $\rho$ L

Answer:

Option D

Explanation:

Decrease in surface energy= hear required  in vaporization

 $\therefore$      $ T(ds)= L(dm)$

$\therefore$     $ T(2)(4\pi r)dr= L(4\pi r^{2}dr)\rho$

 $\therefore   $     $ r= \frac{2T}{\rho L}$