Question #42598

M1X and M2X are the salts of a weak base and strong acid. Kh values for them are 10–7 and 10–4 respectively. Kb for M3OH is 10–4 . The decreasing order of base strength would be :
(1) M2OH, M1OH, M3OH
(2) M1OH, M3OH, M2OH
(3) M3OH, M1OH, M2OH
(4) M1OH, M2OH, M3OH

Expert's answer

Answer on Question #42598, Chemistry, Other

Question:

M1X and M2X are the salts of a weak base and strong acid. Kh values for them are 10–7 and 10–4 respectively. Kb for M3OH is 10–4. The decreasing order of base strength would be :

(1) M2OH, M1OH, M3OH

(2) M1OH, M3OH, M2OH

(3) M3OH, M1OH, M2OH

(4) M1OH, M2OH, M3OH

Solution:

Hydrolysis constant of salt obtained from Strong acid and Weak base is:


Kh=Kw/Kb\mathrm{Kh} = \mathrm{Kw} / \mathrm{Kb}


Therefore:


Kb=Kw/KhKb = Kw / KhKb(M1OH)=1014107=107Kb(M1OH) = \frac{10^{-14}}{10^{-7}} = 10^{-7}Kb(M2OH)=1014104=1010Kb(M2OH) = \frac{10^{-14}}{10^{-4}} = 10^{-10}


And the decreasing order of base strength (Kb) would be 104>107>101010^{-4} > 10^{-7} > 10^{-10}

Answer: (3) M3OH, M1OH, M2OH.

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