What is the excess pressure inside a bubble of soap solution of radius 5.00mm, given that the surface tension of soap solution at the temperature `(20^(@)C)` is `2.50xx10^(-2)Nm^(-1)`? If an air bubble of the same dimension were formed at a depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble? (1atm. is `1.01 xx 10^(5)Pa`).

Explanation

Excess pressure inside the soap bubble =20.0 Pa excess pressure inside the air bubble in soap solution =10.0Pa Outside pressure for air bubble =`1.01 times 10^5+0.4 times 10^3 times 9.8 times 1.2=1.06 times 10^5 Pa`. The excess pressure is so small that up to three significant figures, total pressures inside the air bubble is `1.06 times 10^5 Pa`