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Question

All solution are at 25C
Column I Column II(I) A solution containing weak acid 0.1 M HA (Ka=105& 0.1M NaA)(P) Buffer solution(II) In a mixture of 200 ml 0.5 M Na3PO4 and 400 ml 0.5 M HCl(Q) pH = 10 (for H3PO4K1=103,K2=107,K3=1012)(III) An aqueous solution of sparingly soluble A(OH)3(Ksp=27×1040)(R) Acidic solution(IV) 0.1 MNa2A (Ka1(H2A)=103),Ka2(H2A)=107solution(S) pH is closer to 7(T) pH = 5
Which of the following options has the correct combination considering LIst - I and List - II?

A
(I),(Q)
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B
(III),(P)
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C
(IV),(Q)
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D
(II),(S)
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Solution

The correct option is C (IV),(Q)
(I)
Buffer solution
pKa=logKapKa=log105pKa=5pH=pKa+logsaltacidpH=5+log0.10.1pH=5+log1pH=5pH=log[H+]H+=105
Hence, for (I) - P,R,T are correct
(II)
200 mL 0.5MNa3PO4 and 400 mL 0.5 M HCl
Na3PO4 + HCl NaH2PO4200mL×0.5M 400mL×0.5M100 mole 200 mole 100 moleAs NaH2PO4 is amphoteric salt, so pH can be calculated as
pH=pKa1+pKa22pH=3+72
pH=5.0
For (II), R,T are correct.
(III)
A(OH)3A++3OHs3s
Ksp=s.(3s)3Ksp=27s4
Given, Ksp=27×1040
Therefore s=1010OH=3×1010OHnet=OHH2O+OHA(OH)3OHnet=OHH2OOH=107pH=log[H+]pH=log[107]pH=7
For (III) only S is correct.
(IV)
A2+H2OHA++OHh=KwKa2×C (Kh×C Kh=107)=107×0.1=104=[OH][H+]=1014104=1010pH=10
For IV only Q is correct. Hence, option c is the correct answer.

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