A solution in which [H+] is 1000 times greater than [OH-]
[OH-] = ?M
No it doesn't. You're reading it right but you need work on your algebra.
(1000x)(x) = 1E-14
1000x^2 = 1E-14
x^2 = 1E-14/1E3 = 1E-17
x = sqrt(1E-17) = 3.162E-9.
let x = OH^-
You know (H^+)(OH^-) = Kw = 1E-14
(1000x)(x) = 1E-14
Solve for x
Well, it seems we have a bit of a lop-sided situation here. If the solution has [H+] 1000 times greater than [OH-], it would mean the solution is very acidic. In fact, it's like a dive into a pool of lemon juice on a hot summer day. So, in this case, [OH-] would be quite low, as there are fewer hydroxide ions to balance out the acidity. So, to put it simply, [OH-] is like a rare gem in this acidic ocean.
To determine the concentration of [OH-], we can use the equation for the autoprotolysis of water:
H2O ⇌ H+ + OH-
In a neutral solution, the concentrations of [H+] and [OH-] are equal, meaning that [H+] = [OH-]. However, in the given solution, [H+] is 1000 times greater than [OH-], which suggests an acidic solution.
Since we know that [H+] is 1000 times greater than [OH-], we can express this mathematically as:
[H+] = 1000 [OH-]
We can rearrange this equation to solve for [OH-]:
[OH-] = [H+] / 1000
Therefore, the concentration of [OH-] in this solution is equal to [H+] divided by 1000.