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Consider a system of C components. Compenent 1 is the solvent and we have a fixed number N1 moles of these in the system.The number of moles of the remaining C-1 components is allowed to changed by...

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Consider a system of C components. Compenent 1 is the solvent and we have a fixed number N1 moles of these in the system.The number of moles of the remaining C-1 components is allowed to changed by coupling to C-1 chemical pothntial baths.(see attached file)
Answered Same Day Dec 26, 2021

Solution

Robert answered on Dec 26 2021
134 Votes
Solution: 5
(a).
As the piston is made thermally conductive and moveable so both heat and work transfer will take place
through the piston.
We know from the first law of thermodynamics;
Change in Internal energy, ∆U = ∆Q - ∆W
By entropy maximum principle we know that, the equili
ium value of any unconstrained internal
parameter is such as to maximize the entropy for the given value of the total internal energy .
We know that;
∆Q = T∆S
And ∆? = ?∆?
∆U = T∆S − ?∆?
By applying the ideal gas equation on both small and larger side;
?? ?
??
4
= ?�̅�??
?? ?
??
4
= �̅�??
Where, n = Number of moles = 1...
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