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Acid strength is classified by concentration of hydrogen ions. Weak acids do not dissociate completely in water while stronger acids do. Thus, stronger acids produce more hydrogen ions, which lowers the pH of these acids, while the pH of weak acids is higher due to the lower concentration of H+ ions
also remember that p is an operation for the negative log of the concentration of hydrogen atoms. So as the concentration gets larger (more acidic) the negative log of that number is going to get smaller. So a lower pH value is more acidic.
An acid is weak if it does not dissociate fully. When an acid dissociates only partially, the concentration of the hydrogen atoms released into the surrounding solution is less than a strong acid. Because the concentration of the hydrogen atoms is less than it would be if it dissociated fully, the pH of the solution is not lowered as in the case of a strong acid that donates all of its hydrogen atoms since the pH of the solution depends on the hydrogen concentration. The stronger an acid, the smaller the pH value and since it is a weak acid, the pH is higher and thus the solution is more basic.
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