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(C) The work done to form a soap bubble of radius $r$ is given by $W = 2 	imes (4\pi r^2)T = 8\pi r^2 T$,where $T$ is the surface tension.For the fir

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Slightly less than four times

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(C) The work done to form a soap bubble of radius $r$ is given by $W = 2 	imes (4\pi r^2)T = 8\pi r^2 T$,where $T$ is the surface tension.For the first bubble of radius $R$ at temperature $T_1$,the work done is $W_1 = 8\pi R^2 T_1$.For the second bubble of radius $2R$ at temperature $T_2$,the work done is $W_2 = 8\pi (2R)^2 T_2 = 32\pi R^2 T_2$.When the solution is heated,the temperature increases $(T_2 > T_1)$,which causes the surface tension to decrease $(T_2 If the surface tension were constant,$W_2 = 4W_1$. However,since $T_2 < T_1$,the work done $W_2$ will be slightly less than $4W_1$.

$A$ soap bubble of radius $R$ is blown. After heating the solution,a second bubble of radius $2R$ is blown. The work required to blow the second bubble in comparison to that required for the first bubble is

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