What is the dissociation constant for hydroflouric acid?

AI Thread Summary
To determine the dissociation constant for hydrofluoric acid (HF), start by calculating the concentration of hydrogen ions using the pH value of 2.2, which gives [H+] = 10^-2.2. The molarity of HF can be derived from the given 2.0g per liter, converting grams to moles. The dissociation reaction shows that the concentration of fluoride ions [F-] equals the concentration of hydrogen ions [H+]. Finally, use the formula K = [H+][F-]/[HF] to find the dissociation constant, noting that [HF] will be the initial concentration minus the amount that has dissociated. Understanding these steps will clarify the equilibrium concepts involved.
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I understand this tells us how strongly binded a solution is.
So I hve hydroflouric acid, it says it contains 2.0g of HF per litre and has a PH of 2.2. How do I figure what the dissociation constant for HF is?

Thanks
 
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use the ph to find the concentration of H+

remember pH = -log[H+] => [H+] = 10^-pH

use the info they gave you about the amount of HF to get molarity of HF solution.

HF ---> H(+) + F(-)

[F-] = [H+] (neglecting dissociation of H20)

then use the defintion for the dissociation constant
 
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JFo said:
use the ph to find the concentration of H+

remember pH = -log[H+] => [H+] = 10^-pH

use the info they gave you about the amount of HF to get molarity of HF solution.

[F-] = [HF] - [H+]

then use the defintion for the dissociation constant

oh boy, I have hated this equilibrium unit.

I don't follow exactly. can you define some of the things? and is molarity (moles)? that be 0.1.
 
A good idea is to list all knowns first.

You've been given the strength of the solution in grams per litre. You have to convert it into moles per litre first (Molarity). Molarity = moles of solute per litre of solution. Then, consider the ionization of HF and account for how much HF has reacted and what concentration H+ and F- ions have been formed as a result.

Cheers
Vivek
 
ChemRookie, I received your message. Here goes.

Molarity = number of moles of solute per litre of solution

Molarity of HF before ionization = moles of HF given to you/volume of solution in litres. Let this equal a.

Now, consider the ionization of HF:

:::::::::: HF----------------->H+ + F-
t = 0_____a_______________ ~0____0
t = teq___a-x_______________x_____x

Here x is the concentration of HF that has been consumed during the ionization so that at equilibrium, H+ and F- are formed in equal amounts, i.e. x.

The crucial step: Note that I have put a ~ sign in the first line below H+. This is to indicate that the solution contains some amount of hydrogen ions due to the autoionization of water which we have neglected due to its small value. It is conceptually incorrect to say that H+ in such a solution is zero before HF ionizes. However, once HF has ionized then you can make an order of magnitude approximation and say that almost all the hydrogen ions (or more precisely hydronium ions) in solution are due to ionization of HF. Its like this: if x = 4 then 4 + 10^{-7} (example) is approximately 4.

Now,

K_{c} = \frac{[H^+][F^-]}{[HF]}

REMEMBER: These are molarities in the square brackets.

Now you should be able to use the definition of pH and solve the problem. Stated differently this is precisely what JFo told you:

"All the H+ and F- come from HF so the initial concentration of HF = concentration of HF at any time t + concentration of H+ (or F-) at that time."

Please try all this on paper and do many equilibrium problems after this to come to terms with the methods which look complex initially. You should look for constraints like charge balance, mass balance, etc.

Hope that helps...

cheers
Vivek

PS--the underscores are for spacing only...I couldn't figure out how to make that table well spaced :-D
 
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maverick280857 said:
ChemRookie, I received your message. Here goes.

Molarity = number of moles of solute per litre of solution

Molarity of HF before ionization = moles of HF given to you/volume of solution in litres. Let this equal a.

Now, consider the ionization of HF:

:::::::::: HF----------------->H+ + F-
t = 0_____a_______________ ~0____0
t = teq___a-x_______________x_____x

Here x is the concentration of HF that has been consumed during the ionization so that at equilibrium, H+ and F- are formed in equal amounts, i.e. x.

The crucial step: Note that I have put a ~ sign in the first line below H+. This is to indicate that the solution contains some amount of hydrogen ions due to the autoionization of water which we have neglected due to its small value. It is conceptually incorrect to say that H+ in such a solution is zero before HF ionizes. However, once HF has ionized then you can make an order of magnitude approximation and say that almost all the hydrogen ions (or more precisely hydronium ions) in solution are due to ionization of HF. Its like this: if x = 4 then 4 + 10^{-7} (example) is approximately 4.

Now,

K_{c} = \frac{[H^+][F^-]}{[HF]}

REMEMBER: These are molarities in the square brackets.

Now you should be able to use the definition of pH and solve the problem. Stated differently this is precisely what JFo told you:

"All the H+ and F- come from HF so the initial concentration of HF = concentration of HF at any time t + concentration of H+ (or F-) at that time."

Please try all this on paper and do many equilibrium problems after this to come to terms with the methods which look complex initially. You should look for constraints like charge balance, mass balance, etc.

Hope that helps...

cheers
Vivek

PS--the underscores are for spacing only...I couldn't figure out how to make that table well spaced :-D


thanks for your effort. I get it more, but I am still not comfortable with this.
I'm going to need to give it a look more later, and keep looking back at it more and more.
 
I understand this tells us how strongly binded a solution is.
So I hve hydroflouric acid, it says it contains 2.0g of HF per litre and has a PH of 2.2. How do I figure what the dissociation constant for HF is?

K=[H30+][F-]/[HF]

In the case of a simple dissociation of a monoprotic acid

K=[x][x]/[initial~conc.~acid~-x]

note that all you'll need to solve for K is x, and the initial concentration.

note that x is the hydronium concentration, which can be deduced using the pH.

note that the initial concentration can be found also, find the moles of HF, the volume is 1 L.
 
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