Calculating H3O+ Concentration for Acetic Acid Solution | Ka = 1.8 x 10-5

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SUMMARY

The H3O+ concentration for a 0.100 M acetic acid solution, with a dissociation constant (Ka) of 1.8 x 10-5, is calculated using the formula derived from the equilibrium expression for weak acids. The correct answer is 1.3 x 10-3 M, corresponding to option d. The calculation involves using the ICE table method and the formula for weak acid dissociation, which is essential for determining the concentration of hydronium ions in such solutions.

PREREQUISITES
  • Understanding of weak acid dissociation and equilibrium concepts
  • Familiarity with the ICE table method for equilibrium calculations
  • Knowledge of the formula for calculating H3O+ concentration from Ka
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the derivation of the weak acid dissociation formula
  • Learn how to construct and use ICE tables for equilibrium problems
  • Explore the relationship between pH and H3O+ concentration
  • Practice calculating concentrations for various weak acids using their Ka values
USEFUL FOR

Chemistry students, educators, and anyone involved in analytical chemistry or studying acid-base equilibria will benefit from this discussion.

2200andbeyond
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Homework Statement



What is the H3O+ concentration of a 0.100 M acetic acid solution (Ka = 1.8 x 10-5)?
a. 1.8 x 10-5
b. 1.8 x 10-4
c. 1.3 x 10-2
d. 1.3 x 10-3
e. 0.9 x 10-3

Homework Equations





The Attempt at a Solution



so the question is supposed to be D. but I thought that The Ka tells the concentration of the H3O+! Doesn't it ?!

I think you're supposed to take the square root of 1.8 x 10-5 the multiply it by 0.1
BUT WHY?!

thanks in advance!
 
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2200andbeyond said:
I think you're supposed to take the square root of 1.8 x 10-5 the multiply it by 0.1
BUT WHY?!

Something that might sound like that but you have got it jumbled.

The answer and the right equation is explicitly there in the source given by Borek but I am not sure it would be helping you to direct you to it. You will forget the formula again like you already have by the next time you need to use it, so you need the ability to work out what it is.

Write down the equations you have to use, and if you do not then see, show them to us and we will further help.
 

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