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THE EQUATION OF STATE OF A GAS IS GIVEN BY p(v-b)=nRT. IF 1K MOLE OF GAS IS ISOTHERMALLY EXPANDED FROM VOLUME v to 2v, THEN WHAT IS THE WORK DONE DURING PROCESS ?

THE EQUATION OF STATE OF A GAS IS GIVEN BY p(v-b)=nRT. IF 1K MOLE OF GAS IS ISOTHERMALLY EXPANDED FROM VOLUME v to 2v, THEN WHAT IS THE WORK DONE DURING PROCESS ? 

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1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

dear rahul

work done W=  limit  v to 2v   ∫pdv

                  =limit  v to 2v   ∫nRT/(v-b)dv

                   =limit  v to 2v   nRT∫1(v-b)dv

                   =limit  v to 2v nRT ln|v-b|

                  =nRT ln|(2v-b)/(v-b)|

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