Two identical soap bubbles each of radius r and of the same surface tension T combine to form a new soap bubble of radius R. The two bubbles contain air at the same temperature. If the atmospheric pressure is p 0 then find the surface tension T of the soap solution in terms of p 0 , r and R. Assume process is isothermal.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Total number of moles of air in the two soap bubbles = number of moles of air in the resulting
bubble.
= 
2pv = p ′ v ′
2 
π r 3 = 
π R 3
2 
r 3 = 
R 3 ∴ T = 
= 
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