Mechanical Properties of Fluids

Physics Part II

Physics

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Show that isothermal bulk modulus of a gas is equal to the pressure of the gas.

Bulk modulus is given by,

Â Â Â Â Â Â Â Â Â Â

Negative sign implies if pressure increases volume decreases.

For isothermal condition, equations of state is given by,Â

Â Â Â Â Â Â Â Â Â Â Â PV = constantÂ

Now, differentiating this equation, we getÂ

Therefore, bulk modulus of a gas is equal to the pressure of a gas is proved.Â

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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.

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What is hydrodynamics?

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

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What is fluid?

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

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