Finding the value of the ionization for an acid

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To determine the ionization constant (Ka) for a 0.1 mol/L aqueous solution of a weak monoprotic acid with a hydrogen ion concentration of 0.001 mol/L, the formula Ka = [H+][A-]/[HA] is applicable. The hydrogen ion concentration is given as 0.001 mol/L, and the initial concentration of the acid is 0.1 mol/L. It is essential to calculate the equilibrium concentrations, considering that 0.001 mol/L of the acid has dissociated. The equilibrium concentration of the acid ([HA]) will be 0.1 - 0.001 = 0.099 mol/L. The concentration of the conjugate base ([A-]) will also be 0.001 mol/L at equilibrium. Substituting these values into the Ka formula will yield the correct ionization constant. If the calculated answer is not exactly one of the provided options, selecting the closest choice is recommended.
mister_mister3
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So this is probably going to look like a ridiculously easy question, but I'm stumped. I have searched for hours looking for a formula to use, and I've given up on my text.

Question: A 0.1 mol/L aqueous solution of weak monoprotic acid has a hydrogen ion concentration of 0.001 mol/L. The value of the ionization, Ka, for this acid is:
a) 10^-6
b) 10^-2
c) 10^-3
d) 10^-5

Now I want to use the formula Ka=[H+] [A-] / [HA] whcih would give me
Ka= [0.001] [A-] / [0.1]. The answer makes no sense. I have no idea where to go next. Can anyone point me in the right direction?

THANKS@!
 
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The Ka represents concentrations at equilibrium. the original concentration of the acid is .100mol/L, find the equilibrium concentration. Assume that .001 mol/L of acid has dissociated.
 
Moderator Note : Nerro, do not post complete solutions to homework problems. That rarely helps.
 
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To the OP : Start with the balanced equation. You can not do much without the balanced equation down on paper (or in your head). From there, use the stoichiometric proportions (as GCT suggested) to find the value of [A-] at equilibrium.

If the final answer you get is a little off from one of the options, pick the closest choice (there should be one that's within about 2% of your calculation).
 
Since my complete answer is apparently a little over the top (I figured after a week he should have figured it out anyway). Here's a hint: If there is only one acid in solution and a certain amount of H+ is in solution. How much of the acid will have deprotonated to supply those hydrogen ions?
 
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