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Question

If the ionic equivalent conductivities of K+Al3+,and SO24 ions are 4, 4, and 1 Scm2Eq1 , respectively. Calculate the value of 0eq for Potash alum (K2SO4.Al2(SO4)3.24H2O)

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Solution

As per the expression:
λoMλoeq= nfactor
λoMK+=λoeqK+×1= 4 Scm2mol1
Similarly,
λoMAl3+=λoeqAl3+×3= 12 Scm2mol1
and
λoMSO24=λoeqSO24×2= 2 Scm2mol1

ΛoMK2SO4.Al2(SO4)3.24H2O = 2×λoMK++λoMSO24+2×λoMAl3++3×λoMSO24
2×4+1×2+2×12+3×2
40 Scm2mol1
*NOTE: Since, H2O is neutral therefore will not account for conductivity.

ΛoeqK2SO4.Al2(SO4)3.24H2O = ΛoMK2SO4.Al2(SO4)3.24H2Onfactor
n-factor of Potash Alum is = Total charge on cations
n-factor = (+1)×no.ofK+1+(+3)×no.ofAl3+
1×2+3×2
8
Putting values:
ΛoeqK2SO4.Al2(SO4)3.24H2O = 408
= 5 Scm2Eq1
Hence, the correct answer is 5 Scm2Eq1

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