Chemistry - Thermodynamics - I Question with Solution | TestHub
ChemistryThermodynamics - IIsothermal Process/Isobaric/IsochoricEasy2 minQB
ChemistryEasysingle choice
The work involved (w) in an isothermal expansion of n moles of an ideal gas from an initial pressure of 'P' atm to final pressure of 1 atm in number of steps such that in every step the constant external pressure exactly 1 atm less than the initial pressure of gas is maintained, is given as
Options:
Answer:
A
Solution:
In a step starting at pressure p, Pext = p - 1 and the gas ends at p - 1. w = -(p-1) nRT[1/(p-1) - 1/p] = -(nRT)/p. The steps start at p = P, P-1, …, 2 (the last step ends at 1 atm), that is P - 1 steps. Putting p = P + 1 - i with i = 1 to P - 1: w = -nRT∑i=1P-11/(P+1-i). Matches (a).
Stream:JEESubject:ChemistryTopic:Thermodynamics - ISubtopic:Isothermal Process/Isobaric/Isochoric
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