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# A vessel filled with air under pressure P° contains a soap bubble of diameter d.The air pressure have been reduced n fold and the bubble diameter increased r fold isothermally.Find the surface tension of soap water solution.(Courtesy :Cengage Physics)

Asked by Vidushi412 30th November 2018, 10:43 AM
Let P0 be the pressure in the vessel and P1 is the initial pressure inside bubble of radius d.

Then we have P1 - P0 = .....................(1)
where T is surface tension

when Pressure in the vessel is reduced by n fold, bubble diameter is increased by r fold.

Under isothermal condition, if V1 was initial volume and is changed r3 times now, then pressure reduced by r3 times (PV is constant)
Hence now we have, .........................(2)
By eliminating P1 from (1) and (2) and after simplification, we get
Answered by Expert 30th November 2018, 12:47 PM
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