Two spherical soap bubbles collapses. If V is the consequent change in volume of the contained air and S is the change in the total surface area and T is the surface tension of the soap solution, then if relation between P 0 , V, S and T are λ P 0 V + 4ST = 0, then find λ ? (if P 0 is atmospheric pressure): Assume temperature of the air remain same in all the bubbles
Text Solution
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(3)
Sol.
Let and coalesce to form .
By mole conservation:
P a . a 3 + P b . b 3 = P c . c 3 ....... (i)
Also, P a = P 0 + 
........(ii)
P b = P 0 + 
.......(iii)
P c = P 0 + 
.......(iv)
Putting there values:
⇒ also, c 3 – (b 3 + a 3 ) = 
and c 2 – (a 2 + b 2 ) = 
Putting there values:
P 0 
+ 4T 
= 0
⇒ 3P 0 V + 4ST = 0
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