Relationship between ΔrGº, ΔrG, Q, and K Fill in the blanks and boxes!!At constant P and T and we=0, dG is a criterion of spontaneity and dG = (Eqn 1) μiiiNdn=∑1and for calculating ΔG or dG, we take G =. μiNn=∑1Consider the balanced chemical reaction at some arbitrary composition aA+bB⇔cC + dD initial # of moles nAnB nC nD infinitesimal change -dnA-dnB dnC dnD(if all dniare positive) dξ= dnaA= dnbB=dncC= From Eqn 1, initial G = Gi= Final G = Gf= μA(nA-adξ) + μB(nB-bdξ) + μC(nC+cdξ) +μD(nD+ddξ) From the previous two equations dG = Gf- Gi== dξ(-aμA-bμB+ cμC +dμD) We can rewrite the equation above as ΔrG = ∂∂ξGTP⎛⎝⎜⎞⎠⎟,= (-aμA-bμB+ cμC +dμD) =(cμ
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