The radius of soap bubble is the surface tension of the soap is s keeping the temperature constant the radius of the soap bubble is doubled the energy necessary for this will be
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soap bubble has two free surfaces.
So, increase in surface area,
if radius get doubled is dA=2×[4π(2r)2−4πr2]=24πr2
The energy spent will beE=W=S×dA=S×24πr2A
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