# A chemistry question from top score

Discussion in 'DAT Discussions' started by Smooth Operater, May 4, 2007.

1. ### Smooth Operater don't bug "operatEr"! 5+ Year Member

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what volume of HCl was added if 20 mL of 1 M NaOH is titrated w/ 1 M HCl to produce a pH = 2?

The answer from top score is 20.4 ml.

But how would you solve it? thanks!

2. ### BodybldgDoc Guest

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3. ### Danny289 Member 2+ Year Member

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For Qustion like this one you must now the concept, let me explain a little about that:
first: Hcl and NaoH both are strong acid and base (k is very big number)

second: they are monoporetic and mono hydroxide(actualy make it easier) that means, one H+ and one oH-naturalize each other.

third(very important point): for both Molarity and Normality are equal(because the second point that I alredy mentioned) in other hand Mollar is 1, means Normality is 1 and if not , you must calculate the normality( recall from acid and base soultion ===> N= molarity x n)

-(PH)
forth: concept of PH for acid ===> N=[H+]= 10
now ve can attack the problom:

for NaoH : V1=20 ml
Cm(molarity)=0.1 ====> N1=0.1

for Hcl : V2=?
Cm=0.1 ==========> N2=0.1

fina soultion after adding Acid and Base: -2
PH= 2 ====> N(total)=10 = 0.01
V(total)= V1 + V2= 20 + V2

now, we can go for formula with knowing this concept that :we added acid and nutralized the base (N1V1=N2V2) and then add more acid and getting acidity solution(PH=2 means acidity solution) in other hand for sure we must add 20 cc acid and adding alittle more to get acidity solution.
now we have formula
N2V2-N1V1= NV=====> (0.1 x V2 )- (0.1 x 20 )= 0.01 x(20+ V2)
beacause V total = V1+V2
now find the V2 from above you will get this, in the end: V2=(20.2/0.99)

and the answer wil be : 20.4 ml !
good luck for ur DAT

4. ### Danny289 Member 2+ Year Member

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some misspelling about formulas plz check your books for relation between PH and Normality I couldn't fix it here :
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