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Question

Calculate the dissociation constant of NH4OH at 298 K, if H and ΔS for the given changes are as follows:
NH3+HNH4;


ΔH=52.2 kJmol1,ΔS=1.67JK1mol1

H2OH+OH;ΔH=56.6kJmol1;

ΔS=76.53JK1mol1

A
Kb=1.7×105
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B
Kb=1.7×103
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C
Kb=1.7×101
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D
Kb=3.4×105
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Solution

The correct option is A Kb=1.7×105
NH3+HNH4;ΔH=52.2
Adding, H2OH+OH;ΔH=56.6
----------------------------------------------------------------------------------------
NH3+H2ONH4+OH;ΔH=4.4kJmol1
-----------------------------------------------------------------------------------------
Similarly, ΔSo for the change =76.53JK1mol1 or for the change
NH4OHNH4+OH;ΔH=4.4kJmol1

and ΔSo=76.53JK1mol1

Now we have ΔG=HTΔS

ΔG=4.4(76.53×103)×298=27.2kJmol1

Also, Δ=2.303RTlogKb

27.21=2.303×8.314×103×298logKb

Kb=1.7×105

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