Equilibrium Question 284
Question: $ 20ml $ of $ 0.5N,HCl $ and $ 35,ml $ of $ 0.1N,NaOH $ are mixed. The resulting solution will [KCET 2005]
Options:
A) Be neutral
B) Be basic
C) Turn phenolphthalein solution pink
D) Turn methyl orange red
Show Answer
Answer:
Correct Answer: C
Solution:
(i) 20 ml of 0.5 N HCl $ 0.5N\Rightarrow 1000,ml,0.5,mole,HCl $ is present in $ 20,ml $
$ =\frac{20\times 0.5}{1000}=1.0\times {10^{-2}} $                     (ii) 35 ml of 0.1 N NaOH                     $ 0.1N\Rightarrow 1000ml $  of 0.1 mole  $ NaOH $  is 35 ml                     $ =\frac{35\times 0.1}{1000}=0.35\times {10^{-2}} $                     Total = 20 + 35 = 55 ml.                  
$ \Rightarrow  $  (1.0-0.35)10-2=0.65 ยด 10-2mole HCl                       HCl = H++Cl-                  
$ \Rightarrow  $  [HCl] = [H+]+[Cl-]                    55 ml contains 0.65 ยด 10-2 mole of H+ ions                     $ 1000,ml-\frac{0.65\times {10^{-2}}\times 10^{3}}{55}=\frac{6.5}{55} $
$ pH=-\log [{H^{+}}]=-\log (6.5/55) $
$ =\log 55-\log 6.5=0.92 $ Due to acidic nature of solutions the colour of phenolphthalein becomes pink.
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