Fe(OH)3 Ksp 4×10^(-38) mol/L water pH 5.0 buffer pH 11.0 buffer

Fe(OH)3 Ksp 4×10^(-38) mol/L water pH 5.0 buffer pH 11.0 buffer



Calculate the solubility (in mol/L) of Fe(OH)3 (Ksp = 4×10^(-38))

in each of the following situations:

a) Pure water (assume that the pH is 7.0 and remains constant)

b) A solution buffered at pH = 5.0

c) A solution buffered at pH = 11.0


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Fe(OH)3(s) ⇌ Fe^3+(aq) + 3OH^-(aq)


Ksp = [Fe^3+] [OH^-]^3

( 참고 https://ywpop.tistory.com/8434 )




a) Pure water (assume that the pH is 7.0 and remains constant)

pOH = 14.00 – pH

= 14.00 – 7.0 = 7.0

---> [OH^-] = 10^(-7.0) M



Ksp = [Fe^3+] [OH^-]^3


[Fe^3+] = Ksp / [OH^-]^3

= (4×10^(-38)) / (10^(-7.0))^3

= 4×10^(-17) M



Fe(OH)3 : Fe^3+ = 1 : 1 계수비(= 몰수비) 이므로,

[Fe^3+] = [Fe(OH)3] = 4×10^(-17) M

( 참고 https://ywpop.blogspot.com/2024/01/feoh3-10-7-m-oh.html )




b) A solution buffered at pH = 5.0

pOH = 14.00 – 5.0 = 9.0

---> [OH^-] = 10^(-9.0) M

( ∵ 완충용액이므로, [OH^-] = 10^(-9.0) M )



[Fe^3+] = Ksp / [OH^-]^3

= (4×10^(-38)) / (10^(-9.0))^3

= 4×10^(-11) M




c) A solution buffered at pH = 11.0

pOH = 14.00 – 11.0 = 3.0

---> [OH^-] = 10^(-3.0) M



[Fe^3+] = Ksp / [OH^-]^3

= (4×10^(-38)) / (10^(-3.0))^3

= 4×10^(-29) M




답:

a) 4×10^(-17) M

b) 4×10^(-11) M

c) 4×10^(-29) M




[키워드] Fe(OH)3의 몰용해도 기준, Fe(OH)3의 Ksp 기준, Fe(OH)3의 몰용해도 사전, Fe(OH)3의 Ksp 사전



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