1.21 COMPARISON OF WORK DONE BY AN IDEAL GAS ANISOTHERMAL REVERSIBLE E

1.	1.21 COMPARISON OF WORK DONE BY AN IDEAL GAS ANISOTHERMAL REVERSIBLE EXPANSION
Answer» Consider an ideal gas confined in a cylinder with a frictionless piston. The reversibleexpansion of gas takes place in a finite number of infinitesimally small intermediate steps. If the Pextis infinitesimally less than internalpressure of gas ‘P’ by ‘dP’. Then gas expands reversibly and piston moves through a distance ‘dl’. Since dP is so small, for all practical purposes. Pext. –Pgas =P. One work done by gas in one infinitesimal step (dw) can be expressed as; dw =P´dV.[w = P´DV] dw= PdV. If the gas expands from V1to V2during isothermalreversible expansion. The total amount of work done would be equal to

1.21 COMPARISON OF WORK DONE BY AN IDEAL GAS ANISOTHERMAL REVERSIBLE EXPANSION

Answer»

Consider an ideal gas confined in a cylinder with a frictionless piston. The reversibleexpansion of gas takes place in a finite number of infinitesimally small intermediate steps. If the Pextis infinitesimally less than internalpressure of gas ‘P’ by ‘dP’. Then gas expands reversibly and piston moves through a distance ‘dl’.

Since dP is so small, for all practical purposes.

Pext. –Pgas =P.

One work done by gas in one infinitesimal step (dw) can be expressed as;

dw =P´dV.[w = P´DV]

dw= PdV.

If the gas expands from V1to V2during isothermalreversible expansion. The total amount of work done would be equal to

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