How much work is required to form a bubble of | vedclass

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(A) The work done $W$ in forming a soap bubble of radius $R$ and surface tension $T$ is given by the change in surface energy.Since a bubble has two s

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$75.36 	imes 10^{-4} \ J$

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(A) The work done $W$ in forming a soap bubble of radius $R$ and surface tension $T$ is given by the change in surface energy.Since a bubble has two surfaces (inner and outer),the surface area is $A = 2 	imes (4\pi R^2) = 8\pi R^2$.Given: $R = 10 \ cm = 0.1 \ m$,$T = \frac{3}{100} \ N/m = 0.03 \ N/m$.$W = T 	imes \Delta A = T 	imes 8\pi R^2$.$W = 0.03 	imes 8 	imes 3.14 	imes (0.1)^2$.$W = 0.03 	imes 8 	imes 3.14 	imes 0.01$.$W = 0.24 	imes 3.14 	imes 0.01 = 0.7536 	imes 10^{-2} \ J = 75.36 	imes 10^{-4} \ J$.

How much work is required to form a bubble of radius $10 \ cm$ from a liquid with surface tension $\frac{3}{100} \ N/m$?

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