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Graph of specific heat at constant volum...

Graph of specific heat at constant volume for a monatomic gas is

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C
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Graph for specific heat at constant volume for a monoatomic gas

Graph for specific heat at constant volume for a monoatomic gas

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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. For a monoatomic gas, the values of polytropic constant η for which value specific heat is negative.