#### Question

A soap bubble of radius 12 cm is blown. Surface tension of soap solution is 30 dyne/cm. Calculate the work done in blowing the soap bubble.

#### Solution

r = 12 cm, T = 30 dyne/cm, W = ?

Initial surface area of soap bubble = 0

Final surface area ΔA = 2 × 4πr^{2}

∴ Increase in surface area = 2 × 4πr^{2}

∴ Work done W = T × ΔA

= 30 × 8 × 3.14 × (12)^{2}

= 108518.4 erg

= 108518.4 × 10^{−7}

= 1.085 × 10^{−2} J

The work done in blowing the soap bubble is 1.085 × 10^{−2} J.

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#### APPEARS IN

Solution A Soap Bubble of Radius 12 Cm is Blown. Surface Tension of Soap Solution is 30 Dyne/Cm. Calculate the Work Done in Blowing the Soap Bubble. Concept: Capillarity and Capillary Action.