State Of Gas|Types Of Processes|Internal Energy|Work Done By Gas|Polytropic Process

Ideal gas and polytropic process

In a cyclic process, the internal energy of the gas

What is a polytropic process, Obtain expressions for work done in a polytropic process and specific heat of gas in such a process.

A process in which work perfomed by an ideal gas is proportional to the corresponding increment of its internal energy is described as a polytropic process. If we represent work done by a ppolytropic process by W and increase in internal energy as Delta U then W prop Delta U or W=K_(1) DeltaU ...(i) For this process, it can be demonstrated that the relation between pressure and volume is given by the equation PV^( eta)= K_(2) (constant ) .....(ii) We know that a gas can have various values for molar specific heats. The molar specific heat 'C' for an ideal gas in polytropic process can be calculated with the help of first law of thermodynamics. In polytropic process process the variation of molar specific heat 'C' with eta for a monatomic gas is plotted as in the graph shown. In the graph shown, the y- coordinate of point A is ( for monatomic gas )

A process in which work perfomed by an ideal gas is proportional to the corresponding increment of its internal energy is described as a polytropic process. If we represent work done by a ppolytropic process by W and increase in internal energy as Delta U then W prop Delta U or W=K_(1) DeltaU ...(i) For this process, it can be demonstrated that the relation between pressure and volume is given by the equation PV^( eta)= K_(2) (constant ) .....(ii) We know that a gas can have various values for molar specific heats. The molar specific heat 'C' for an ideal gas in polytropic process can be calculated with the help of first law of thermodynamics. In polytropic process process the variation of molar specific heat 'C' with eta for a monatomic gas is plotted as in the graph shown. In the graph shown, the y- coordinate of point A is ( for monatomic gas )

A process in which work perfomed by an ideal gas is proportional to the corresponding increment of its internal energy is described as a polytropic process. If we represent work done by a ppolytropic process by W and increase in internal energy as Delta U then W prop Delta U or W=K_(1) DeltaU ...(i) For this process, it can be demonstrated that the relation between pressure and volume is given by the equation PV^( eta)= K_(2) (constant ) .....(ii) We know that a gas can have various values for molar specific heats. The molar specific heat 'C' for an ideal gas in polytropic process can be calculated with the help of first law of thermodynamics. In polytropic process process the variation of molar specific heat 'C' with eta for a monatomic gas is plotted as in the graph shown. In the graph shown, the y- coordinate of point A is ( for monatomic gas )

For an ideal gas, (i) the change in internal energy in a constant pressure process from temperature T_1 to T_2 is equal to nC_V(T_2-T_1) , where C_V is the molar heat capacity at constant volume and n is the number of moles of the gas (ii) The change in internal enregy of the gas and the work done by the gas are equal in magnitude in an adiabatic process. (iii) The internal energy does not change in an isothermal process. ltbr. (iv) no heat is added or removed in an adiabatic process

Assertion: In a thermodynamic process, initial volume of gas is equal to final volume of gas. Work done by gas in this process should be zero Reason: Work done by gas in isochoric process is zero.

Find the work done by the gas in the process ABC .