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Demonstrate that the process in which th...

Demonstrate that the process in which the work performed by an ideal gas is alphaortional to that corresponding increment of its internal energy is decribed by the equation `p V^n - const`, where `n` is a constant.

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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. 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 )

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NN GHOSH-ISOTHERMAL AND ADIABATIC PROCESS-All Questions
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  7. A cubic metre of dry air at NTP is allowed to expand to 5 cubic metres...

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  8. A mole of a monatimic perfect gas is adiabatically comporessed when it...

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  9. A piston can freely move inside a horizontal cylinder closed from both...

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  10. A certain mass of nitrogen was compressed eta = 5.0 times (in terms of...

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  11. Demonstrate that the process in which the work performed by an ideal g...

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  12. In a certain polytropic process the volume of argon was increased alph...

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  13. On mole of argon expands polytropically, the polytropic constant being...

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  14. An ideal gas has an adiabatic exponent gamma. In some process its mola...

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  15. (a) A polytropic process for an ideal gas is represented by PV^(x) = c...

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  16. If a gas of a volume V(1) at pressure p(1) is compressed adiabatically...

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  17. The relation between internal energy U, pressure P and volume V of a g...

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  18. Molar heat capacity of an ideal gas varies as C = C(v) +alphaT,C=C(v)+...

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  19. One mole of an ideal gas at temperature T expands slowly according to ...

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  20. A diatomic ideal gas is heated at constant volume until its pressure b...

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