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Derivation of polytropic equation of state?

Anonymous

∙ 10y ago

Updated: 10/19/2022

See wikipedia article on polytropic processes.

Wiki User

∙ 10y ago

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Q: Derivation of polytropic equation of state?

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What is the difference between integration and derivation?

Integration results in an equation which gives the area under the original equation between the bounds. Derivation results in an equation which gives the slope of the original line at any point.

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Derivation of x2 or 2x is 2.

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In cosmology, the equation of state of a perfect fluid is characterized by a dimensionless number w, equal to the ratio of its pressure p to its energy density ρ: . It is closely related to the thermodynamic equation of state and ideal gas law.

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What is an example problem of a polytropic process?

An example problem of a polytropic process is when a gas undergoes compression or expansion while its pressure and volume change, following a specific mathematical relationship known as a polytropic equation.

Which equation is not used in the derivation of the keyword?

The equation that is not used in the derivation of the keyword is the quadratic formula.

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What is the derivation of Richardson's Equation of Thermionic Emission?

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What is a polytropic work?

Polytropic work refers to the work done in a process where the relationship between pressure and volume follows a specific power-law equation (P*V^n = constant). It is commonly encountered in compressible flow systems and is expressed as the area under the curve on a P-V diagram for a polytropic process.

What is constant in a polytropic process?

In a polytropic process, the polytropic index "n" is constant. This index dictates the relationship between pressure and volume, and it remains the same throughout the process.

What is the difference between integration and derivation?

Integration results in an equation which gives the area under the original equation between the bounds. Derivation results in an equation which gives the slope of the original line at any point.

What are the thermodynamic polytropic processes?

Thermodynamic polytropic processes are processes that can be described using the polytropic equation ( PV^n = C ), where ( P ) is pressure, ( V ) is volume, ( N ) is the polytropic exponent, and ( C ) is a constant. These processes can encompass a range of behaviors, from isobaric to isothermal to adiabatic processes, depending on the value of the polytropic exponent.

What is the value of polytropic exponent n in reversible polytropic process?

the value of polytropic exponent "n" in reversible process will vary from 1 to adiabatic constant "gamma"

What is the significance of the polytropic index in thermodynamics and how does it affect the behavior of a polytropic process?

The polytropic index in thermodynamics is a measure of how a gas behaves during a polytropic process, where pressure and volume change. It indicates the relationship between pressure and volume changes in the process. The value of the polytropic index affects the efficiency and work done in the process. A higher polytropic index means more work is done, while a lower index means less work is done.

Which process will lead to larger work output isothermal process or polytropic process with n1.25?

The process equation for this is PV up to the nth power which equals C. The polytrophic process is 1.25 which is the n in the equation.

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