If an air bubble of 5.0 mm is formed at depth of 40.0 cm inside a container containing soap solution (of relative density 1.20), what would be the pressure inside the bubble?(1AP = 1.013 x10⁵ Pa and surface tension of soap solution is 0-025 N/m)

Solution

Total pressure inside the air bubble in the soap solution is the sum of the atmospheric pressure, pressure due to height column of soap solution and excess of pressure due to surface tension.
That is,

straight P equals 1 Ap plus ρgh plus fraction numerator 2 straight T over denominator straight r end fraction

The relative density of soap solution is 1.2.
Therefore,
Relative density,

straight rho

=1.2 gm/cc = 1200 kg/m³

Therefore comma space Pressure comma space ρgh equals 1200 cross times 9.8 cross times 0.4 space space space space space space space space space space space space space space space space space space space space space space space space space space equals 4.7 cross times 10 cubed Pa equals 0.047 cross times 10 to the power of 5 space Pa and space space space space fraction numerator 2 straight T over denominator straight r end fraction equals fraction numerator 2 cross times 2.5 cross times 10 to the power of negative 2 end exponent over denominator 5 cross times 10 to the power of negative 3 end exponent end fraction equals 10 Pa Thus comma Pressure space inside space the space bubble space is comma space straight P subscript inside space equals 1.01 cross times 10 to the power of 5 plus 0.047 cross times 10 to the power of 5 plus 10 space space space space space space space space space space space space equals 1.05701 cross times 10 to the power of 5 Pa

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

If an air bubble of 5.0 mm is formed at depth of 40.0 cm inside a container containing soap solution (of relative density 1.20), what would be the pressure inside the bubble?(1AP = 1.013 x10⁵ Pa and surface tension of soap solution is 0-025 N/m)

Some More Questions From Mechanical Properties of Fluids Chapter

Do intermolecular or inter-atomic forces follow inverse square law?

Why solids have definite shape while liquids do not have definite shape?

What is fluid?

What is hydrostatics?

What is hydrodynamics?

Can fluids withstand tangential stress?

Can fluids withstand normal stress?

Why the fluids do not have any modulus of rigidity?

Which phase of fluid is more compressible?

What is an ideal liquid?

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For Daily Free Study Material Join wiredfaculty

Mechanical Properties Of Fluids

If an air bubble of 5.0 mm is formed at depth of 40.0 cm inside a container containing soap solution (of relative density 1.20), what would be the pressure inside the bubble?(1AP = 1.013 x105 Pa and surface tension of soap solution is 0-025 N/m)

Some More Questions From Mechanical Properties of Fluids Chapter

Do intermolecular or inter-atomic forces follow inverse square law?

Why solids have definite shape while liquids do not have definite shape?

What is fluid?

What is hydrostatics?

What is hydrodynamics?

Can fluids withstand tangential stress?

Can fluids withstand normal stress?

Why the fluids do not have any modulus of rigidity?

Which phase of fluid is more compressible?

What is an ideal liquid?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If an air bubble of 5.0 mm is formed at depth of 40.0 cm inside a container containing soap solution (of relative density 1.20), what would be the pressure inside the bubble?(1AP = 1.013 x10⁵ Pa and surface tension of soap solution is 0-025 N/m)