First slide

Surface tension

Question

The excess pressure due to surface tension inside a spherical drop is 6 units. If eight such drops combine, then the excess pressure due to surface tension inside the
larger drop is

Moderate

A

3 units
B

6 units
C

12 units
D

48 units

Solution

$8 \times \frac{4}{3} {πr}^{3} = \frac{4}{3} {πR}^{3}; R = 2 r$
$\frac{2 σ}{P} = \frac{2 \times 2 σ}{p} or P = \frac{p}{2} = \frac{6}{2} units = 3 units$

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