The amount of energy required to form a soap bubble of radius $2 ext{cm}$ from a soap solution is nearly (su

Question

The amount of energy required to form a soap bubble of radius $2 	ext{cm}$ from a soap solution is nearly (surface tension of soap solution $= 0.03 	ext{N m}^{-1}$)

Accepted Answer

Energy $W = T 	imes \Delta A$. For a soap bubble, there are two surfaces, so $\Delta A = 2 	imes (4\pi r^2) = 8\pi r^2$. Given $T = 0.03 	ext{N/m}$, $r = 0.02 	ext{m}$. $W = 0.03 	imes 8 	imes 3.14 	imes (0.02)^2 = 0.03 	imes 8 	imes 3.14 	imes 0.0004 = 3.0144 	imes 10^{-4} 	ext{J}$.

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