State first law of thermodynamics. On its basis establish the relation between two molar specific heat for a gas.

State the first law of thermodynamics.

Establish relation between two principle specific heats of a gas.

State and explain first law of thermodynamics. Establish the relation between two principle specific heats of a gas on the basis of this law.

First law of thermodynamics states that

State third law of thermodynamics. Give 'two' uses.

Applying the first law of thermodynamics, obtain the relation between the two specific hats of a gas.

State first law of thermodynamics.Write it mathematical expression.

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 )