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calculate the final concentrations of K+(aq), C2O4(aq), Ba2+, and Br- in a solution prepared by adding .1L of .2M K2C2O4 to .15L of .25 M BaBr2. for BaC2O4, Ksp=2.3E-8

a few drops of each of the indicators shown in the table were placed in separate portions of 1M solution of a weak acid, HX. the results are shown in the alst column of the table. what is the approximate pH of the solution containing HX? calculate the approximate value of Ka for HX.
Indicator color of HIn Color of In- pKa of HIn HX
bromphenol yellow blue 4.0 blue
blue

bromcresol yellow purple 6.0 yellow
purple

bromcresol yellow blue 4.8 green
green

alizarn yellow red 6.5 yellow

2007-03-06 19:02:29 · 2 answers · asked by Anonymous in Science & Mathematics Chemistry

2 answers

Final volume is V=0.1+0.15= 0.25 L
mole Ba+2= mole BaBr2 = M1V1
so at the moment of mixing you have intial Ba+2 concentration
[Ba+2]o =M1V1/ (V1+V2) = 0.25*0.15/0.25 =0.15

Similarly [C2O4(-2)]0 = M2V2/(V1+V2)= 0.2*0.1/0.25 =0.08

.. .. .. .. .. .. BaC2O4 <=> Ba+2 + C2O4(-2)
Initial .. .. .. .. .. .. .. .. .. .. .. 0.15 .. .. .. 0.08
React .. .. .. .. .. .. .. .. .. .. .. x .. .. .. .. .. x
Produce .. .. .. x
At Equil. .. .. .. .. .. .. .. .. .. 0.15-x .. 0.08-x

Ksp =[Ba+2][C2O4(-2)] = (0.15-x)*(0.08-x)= 2.3*10^-8 =>

x^2-0.23x +0.0199997= 0=>
x1= 0.15000033 rejectd because then [C2O4(-2)]<0
x2= 0.07999967

Thus [Ba+2]= 0.15 - 0.07999967= 0.07000033 =0.07 M
[C2O4(-2)]= 0.08- 0.07999967 =3.3*10^-7 M = 0.33 μM

.. .. .. .. .. HX <=> H+ +X-
Initial .. .. ..1
Dissoc. .. y
Produce .. .. .. .. .. y .. .y
At Equil .. 1-y .. .. ..y .. y

Ka=y^2/(1-y)
y=[H+]= 10^-pH

Let me re-write the table so that it is clear:

Indicator .Colour .. limit .. Colour.. Experim.
#1 .. .. .. .. yellow .. 4.0 .. .. blue .. .. blue => pH>4.0
#2 .. .. .. .. purple .. 6.0 .. .. yellow .. purple=> pH<6.0
#3 .. .. .. .. blue .. .. 4.8 .. .. green .. green => pH>4.8
#4 .. .. .. .. yellow .. 6.5 .. .. red .. .. yellow=> pH<6.5

So the pH is 4.8
for pH=4.8 Ka=(10^-(4.8*2))/(1-10^-4.8) = 2.51*10^-10
for pH=6.0 Ka =(10^-12)/(1-10^-6) =10^-12

so 10^-12 < Ka <2.51*10^-10

or if you want take the mean pH value (5.4) and find Ka for it.

2007-03-06 22:02:35 · answer #1 · answered by bellerophon 6 · 0 0

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2016-12-18 07:26:54 · answer #2 · answered by ? 4 · 0 0

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