Chemistry-
General
Easy

Question

2.5 mL of fraction numerator 2 over denominator 5 end fraction M weak monoacidic base (K subscript b end subscript equals 1 cross times 10 to the power of negative 12 end exponent a t blank 25 ℃) is titrated with fraction numerator 2 over denominator 15 end fraction M H C l in water at 25 ℃. The concentration of H to the power of plus end exponent at equivalence point is (K subscript w end subscript equals 1 cross times 10 to the power of negative 14 end exponent a t blank 25 ℃)

  1. 3.7 cross times 10 to the power of negative 13 end exponent M  
  2. 3.2 cross times 10 to the power of negative 7 end exponent M  
  3. 3.2 cross times 10 to the power of negative 2 end exponent M  
  4. 2.7 cross times 10 to the power of negative 2 end exponent M  

The correct answer is: 2.7 cross times 10 to the power of negative 2 end exponent M


    Weak monoacidic base e.g., B O H is neutralised as follows
    B O H plus H C l rightwards arrow B C l plus H subscript 2 end subscript O
    At equivalence point all B O H gets converted into salt and remember! The concentration of H to the power of plus end exponent (or pH of solution) is due to hydrolysis of resultant salt (B C l comma blank c a t i o n i c comma blank h y d r o l y s i s blank h e r e right parenthesis
    B to the power of plus end exponent blank plus H subscript 2 end subscript O rightwards harpoon over leftwards harpoon B O H blank plus blank H to the power of plus end exponent
    C left parenthesis 1 minus h right parenthesis C h C h
    Volume of H C l used up
    V subscript a end subscript equals fraction numerator N subscript b end subscript V subscript b end subscript over denominator N subscript a end subscript end fraction equals fraction numerator 2.5 cross times 2 cross times 15 over denominator 2 cross times 5 end fraction equals 7.5 blank m L
    Concentration of salt
    open square brackets B C l close square brackets equals fraction numerator c o n c. o f blank b a s e over denominator t o t a l blank v o l u m e end fraction equals fraction numerator 2 cross times 2.5 over denominator 5 left parenthesis 7.5 plus 2.5 right parenthesis end fraction equals fraction numerator 1 over denominator 10 end fraction equals 0.1
    K subscript h end subscript equals fraction numerator C h to the power of 2 end exponent over denominator 1 minus h end fraction equals fraction numerator K subscript w end subscript over denominator K subscript b end subscript end fraction
    (h should be estimated whether that can be neglected or not)
    on calculating h=0.27 (significant, not negligible)
    open square brackets H to the power of plus end exponent close square brackets equals C h equals 0.1 cross times 0.27 equals 2.7 cross times 10 to the power of negative 2 end exponent M

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