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Q.

Given two mixtures:
I)  NaOH+Na2CO3
II)  NaHCO3+Na2CO3
100 ml  of mixture I required ‘W’ and ‘X’ ml of  1 MHCl  in separate titrations using phenolphthalein and Methyl orange indicators. While 100 ml of mixture II required ‘Y’ and ‘Z’ ml of same  HCl  solution in separate titration using same indicators.

Column I (Substance)Column II (Molarity in solution)

(A)

Na2CO3 in mixture I

(P)

(2wx)×102

(B)

Na2CO3 in mixture II

(Q)

(z2y)×102

(C)

NaOH in mixture I

(R)

y×102

(D)

NaHCO3 in mixture II

(S)

(xw)×102

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a

A-S; B-R; C-Q; D-P

b

A-S; B-R; C-P; D-Q

c

A-P; B-Q; C-S; D-R

d

A-P; B-S; C-Q; D-R

answer is B.

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Detailed Solution

Mixture I:
End point with phenolphthalein (disappearance of pink colour) corresponds to the neutralisation of  NaOH and half- neutralisation of  Na2CO3.
NaOH+HClNaCl+H2O             Na2CO3+HClNaHCO3+NaCl
End point with Methyl orange (Appearance of  Red colour) corresponds to the neutralisation of  NaOH and  Na2CO3.
NaOH+HClNaCl+H2O
Na2CO3+2HCl2NaCl+CO2+H2O
Volume of  HCl required for neutralisation of Na2CO3=2(xw)
 Normality of Na2CO3=1×2(xw)100
   2(xw)×102
Molarity of Na2CO3=(xw)×102
Volume of  HCl  req. for neutralisation  of NaOH=w(xw)=(2wx)ml   
Hence, molarity of  NaOH=(2wx)×1100=(2wx)×102M
Mixture II :

 End  point with phenolphthalein corresponds to half- neutralisation  of Na2CO3 as Na2CO3+HClNaHCO3+NaCl
 Volume of  HCl req. for complete neutralisation of     Na2CO3=2y ml
  Molarity  of   Na2CO3=12×2y100=y×102   
 End point with Methyl orange corresponds to neutralisation of  NaHCO3   
 Hence, volume required for neutralisation of  NaHCO3  present initially =(z2y)ml
 Molarity of  NaHCO3=(z2y)100=(z2y)×102 

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