Final answer:
The concentration of perchloric acid would theoretically be 109 M when 10.9 mol of LiOH is used to neutralize 100 ml of acid, but this concentration is unrealistically high and none of the provided answer choices match; the question likely contains a mistake.
Step-by-step explanation:
To determine the concentration of perchloric acid (HClO₄) given that 100 ml (0.1 L) of it is neutralized by exactly 10.9 mol of lithium hydroxide (LiOH), we use the balanced chemical equation for the neutralization reaction:
HClO₄ + LiOH → LiClO₄ + H₂O
From the balanced equation, it is clear that the mole ratio of HClO₄ to LiOH is 1:1. Therefore, 10.9 mol of LiOH would neutralize 10.9 mol of HClO₄.
To calculate the concentration (C) of HClO₄, we use the formula:
C = n / V
Where:
- n = number of moles of HClO₄
- V = volume of the solution in liters
Substituting the given values:
C = 10.9 mol / 0.1 L
C = 109 M
However, this result is not realistic as standard concentrations are typically below 12M for most acids due to their physical properties. Since none of the given choices match this result, there appears to be an error in the question question as posed.