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write the mathematical equation for work done in isothermal reversible process. Derivation of work done in isothermal reversible expansiondW P Adl P dVThe amount of work done by isothermal reversible expansion of an ideal gas from V 1 to V 2 isW V 1 V 2 P dVFrom ideal gas equation P V nRT Hence W V 1 V 2 V nRT dV nRT V 1 V 2 V dV On integration we getW nRT ln V 1 V 2 SinceP 1 V 1 P 2 V 2 P 2 P 1 V 1 V 2 W nRT ln P 2 P 1. For an isothermal reversible process the work done by the gas is equal to the area under the relevant pressure -volume isotherm.
The work done in the isothermal reversible process is given by. A P-T graph is shown for a cyclic process. According to Transport phenomenon the heat of compressionexpansion is given by.
By conservation of energy we have beginequation Q_h W Q_l.
For an ideal gas whose internal energy U is only a function of temperature we thus have for the first law of thermodynamics. R ideal gas constant. Begingroup in irreversible isothermal expansion formula for work done is WPexternalx change in volume. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators.