Determine the concentration of the aluminum ion (Al3+) in pure water caused by the complete dissociation of Al(OH)3. Ksp of Al(OH)3 at 25°C is 1×10-32 and molecular weight of Al3+ is 27 g/mole.
Question
Determine the concentration of the aluminum ion (Al3+) in pure water caused by the complete dissociation of Al(OH)3. Ksp of Al(OH)3 at 25°C is 1×10-32 and molecular weight of Al3+ is 27 g/mole.
Solution
To solve this problem, we need to understand the dissociation of Al(OH)3 in water.
Al(OH)3 dissociates in water as follows:
Al(OH)3 <=> Al3+ + 3OH-
This means that for every one mole of Al(OH)3 that dissociates, one mole of Al3+ and three moles of OH- are produced.
The solubility product constant expression for this reaction is:
Ksp = [Al3+][OH-]^3
Given that Ksp of Al(OH)3 at 25°C is 1×10^-32, we can set up the following equation:
1×10^-32 = [Al3+][OH-]^3
Since the concentration of Al3+ and OH- are the same, we can simplify this equation to:
1×10^-32 = [Al3+]^4
Taking the fourth root of both sides gives us the concentration of Al3+:
[Al3+] = (1×10^-32)^(1/4)
[Al3+] = 1×10^-8 M
So, the concentration of the aluminum ion (Al3+) in pure water caused by the complete dissociation of Al(OH)3 is 1×10^-8 M.
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