First slide

Surface tension and surface energy

Question

Work W is required to form a bubble of volume V from a given solution. What amount of work is required to be done to form a bubble of volume 2V?

Moderate

A

W
B

2W
C

4^1/3W
D

2^1/3W

Solution

$\begin{array}{l} L e t s a y V = \frac{4}{3} π R^{3} a n d 2 V = \frac{4}{3} π R'^{3} \\ \Rightarrow 2 \times \frac{4}{3} π R^{3} = \frac{4}{3} π R'^{3} \\ \Rightarrow R' = 2^{1 / 3} R \\ S o, W' = 2 \times 4 π {[2^{1 / 3} R]}^{2} σ = 2^{2 / 3} \times 2 \times 4 π R^{2} σ = 4^{1 / 3} W \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App