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Mechanical Properties of Fluids

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Physics Part II

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Physics

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CBSE Gujarat Board Haryana Board

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Class 10 Class 12

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)


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/m

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
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What is fluid?

Any material that can flow is a fluid. Liquids and gases are examples of fluid.


976 Views

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

Solids: Intermolecular forces are very strong and thermal agitations are not sufficiently strong to separate the molecules from their mean position. Solids are rigid and hence they have definite shapes.
Liquids: In liquids intermolecular forces are not sufficiently strong to hold the molecules at definite sites, as a result they move freely within the bulk of liquid, therefore, do not possess definite shapes. Liquids take the same shape as that of the container. 
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Do intermolecular or inter-atomic forces follow inverse square law?

No. Intermolecular and inter-atomic forces do not obey the inverse square law. 
1257 Views

What is hydrodynamics?

Hydrodynamics is the branch of science that studies about the force exerted by the fluids or acting on the fluids. 
799 Views

What is hydrostatics?

Hydrostatics is the branch of fluid mechanics that studies incompressible fluids at rest. The study of fluids at rest or objects placed at rest in fluids is hydrostatics.
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