To calculate the pH of a solution, you need to consider the dissociation of the salt and the presence of any ions that can affect the acidity or basicity of the solution. In this case, you have a solution of LiClO, which can dissociate into Li+ and ClO- ions.
First, let's consider the dissociation of ClO-:
ClO- + H2O -> HClO + OH-
The ClO- ion can act as a weak base, reacting with water to form HClO (hypochlorous acid) and OH- (hydroxide ions). Note that water can also act as a weak acid, releasing H+ ions in solution.
Now, let's consider the dissociation of Li+:
Li+ + H2O -> LiOH + H+
The Li+ ion can react with water to form LiOH (lithium hydroxide) and H+ ions.
At this point, we need to assess the effect of these ions on the pH of the solution. HClO is a weak acid and will partially dissociate in water, releasing H+ ions. LiOH is a strong base and will completely dissociate, releasing OH- ions.
Since LiClO is a salt, it will not significantly affect the pH of the solution. However, the ClO- and Li+ ions can influence the pH.
To calculate the pH, we need to determine the concentration of H+ ions in the solution. Since the concentration of H+ ions from HClO and LiOH will be low due to their weak and strong nature, respectively, we can ignore their contribution.
So, in this case, the pH of the solution is not just determined by the concentration of LiClO but also the autoionization constant of water (Kw = [H+][OH-] = 1.0 x 10^-14). Therefore, we need to consider the concentration of OH- ions generated from LiOH and H+ ions generated from HClO.
To calculate the concentration of OH- ions from LiOH, we need to determine the concentration of LiOH by multiplying the molar concentration (0.47 M) by the number of OH- ions produced per formula unit of LiOH, which is 1:
[OH-] = (0.47 M) x 1 = 0.47 M
Next, calculate the concentration of H+ ions from HClO using the relationship Kw = [H+][OH-]:
[H+][0.47 M] = 1.0 x 10^-14
[H+] = (1.0 x 10^-14) / 0.47 M
[H+] ≈ 2.13 x 10^-14 M
Finally, calculate the pH using the equation pH = -log[H+]:
pH = -log(2.13 x 10^-14) ≈ 13.67
Therefore, the pH of the 0.47 M solution of LiClO is approximately 13.67.
Note: Please double-check the values and calculations as mistakes may have occurred during the process.