See wikipedia article on polytropic processes.
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.
it is easy you can see any textbook........
Derivation of x2 or 2x is 2.
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.
State the problem
Gibbs-duhem-margules equation and its derivation
derivation of pedal equation
Rechardsons equation
In Polytropic process the product of Pressure and Volume (PV) power 'n' is constant where, 'n' is polytropic index
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.
the value of polytropic exponent "n" in reversible process will vary from 1 to adiabatic constant "gamma"
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.
The value of the polytropic exponent 'n' in a reversible polytropic process typically varies between 0 and ∞. However, common values for n are between 0 (isobaric process) and 1 (isothermal process) for ideal gases.
equation is a double differential relate to the energy of particle with wave function
it is easy you can see any textbook........
A polytropic process is a process where ( P ) ( V )^n is maintained throughout the process; commonly a compression or an expansion. The n is called the polytropic exponent and is often between 1.0 and k , the specific heat ratio. For a reversible, polytropic, and nonflow process : WB = [ ( P2 ) ( V2 ) - ( P1 ) ( V1 ) ] / [ 1 - n ] or WB = [ 1 / 1 - n ][ ( P1 ) ( V1 ] [ ( P2 / P1 )^B - 1 ] B = ( n - 1 ) / ( n ) For a reversible, polytropic, and steady flow process : WSF = [ n / 1 - n ] [ ( P1 ) ( V1 )] [ ( P2 / P1 )^B - 1 ] B = ( n - 1 ) / ( n )
The Wierl equation is the same as the Wiedemann-Franz Law in condensed matter physics, which states that the ratio of the electronic contribution of the thermal conductivity to the electrical conductivity in a metal is proportional to the temperature. This can be derived using the Drude model of electrical and thermal conductivity in metals, taking into account the free electron gas and assuming that electronic heat and electrical transport are dominated by the same carriers.