Polar Dielectric in Uniform Electric Field

 i) There are permanent dipoles present in Polar Dielectric which are randomly aligned in such a way that there exists permanent dipole moment  Pp.

ii) When a dipole is present in an uniform electric field the dipole tries to align itself in the direction of electric field.

iii) Because of this all dipoles in polar dielectric are partially aligned in the direction of the field. This partial alignment is responsible for the induced dipole moment Pi.

Therefore the electric dipole moment is increasing.

P = Pp + Pi

iv) The electric dipole moment of a polar dielectric increases

      a) by increasing the applied electric field

      b) by decreasing the temperature 

Thermodynamics - important points to be noted for competitive exams

➔ Tephigram is the name of temperature entropy diagram

➔ PV graph in a adiabatic change is called Isentropic.

➔ Entropy of a system is an index of “unavailable energy”.

➔ When gas is expanded, work is done by the gas on surroundings.

➔ The size of “Kelvin degree” is equal to “Centigrade”.

➔ The efficiency of a carnot engine increases by raising the temperature of the source.

➔ Work done per cycle is given by the area enclosed in the indicator diagram.

➔ Conversion of heat energy into electrical energy can be made by “Thermocouple”.

➔ f(P,V,T) =0 exists for an equilibrium state and is called equation of state.

➔ The area of cycle of T-S diagram gives the “available thermal energy for useful work” in a reversible process.

➔ Uses of TS diagram: 

a) used in meteorology b) check efficiency of heat engine c) useful in predicting defects of performance of engine d) to obtain work value of fuel used.

➔ Change in entropy of universe due to free expansion is 
∆S = nR log e(Vf/Vi)

➔ Loss of available of energy = To.dS where ‘To’ is lowest available temperature in system.

➔ In order to maintain a body in an isothermal condition, heat has to be either supplied or withdrawn.

➔ When a gas expands adiabatically, the temperature decreases.

➔ When a gas is compressed, the temperature increases because work is done on the gas.

➔ The work done in an adiabatic change in a particular gas depends upon only change in temperature.

➔ In an adiabatic compression, the decrease in volume is associated with increase in temperature & increase in pressure.

➔ For an isothermal expansion of a perfect gas, the value of dP/P is equal to -dV/V. 

 

➔For an adiabatic expansion of a perfect gas, the value dP/P is equal to -𝛾dV/V.  

 

➔ A reversible process is always “quasi-static”, but every quasi-static process need not be a reversible process.

➔ For reversible cycle: ∆P = ∆V = ∆T = ∆U = ∆H

➔ dW = PdV is only applicable to reversible process. 

➔ In case of “irreversible processes”, dW is not equal to PdV; 

 

➔For free expansion, dW=0

➔For free expansion, dV=0, the work may be zero (in case of PV work)

 

➔ Work and heat are path functions.

➔ Work is not a thermodynamic property as it is not a state function and it is not a exact differential.

➔ Both thermodynamic and temperature scales use a single reference temperature i.e triple point of water.

➔ dW = PdV is only applicable to reversible process. 

➔ In case of “irreversible processes”, dW is not equal to PdV;