The hydroxide ion concentration, [OH*], of an aqueous solution of 0.591 M trimethylamine (a weak base with the formula (CH3)3N) , Kp = 6.3×10$, is: М. =[.HO)

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**Determining Hydroxide Ion Concentration in Aqueous Trimethylamine Solution**

The hydroxide ion concentration, \([OH^{-}]\), of an aqueous solution of 0.591 M trimethylamine (a weak base with the formula \((CH_{3})_{3}N\)), \(K_b = 6.3 \times 10^{-5} \), is:

\[
[OH^{-}] = \underline{\hspace{5cm}} \, M.
\]

In this problem, we are required to find the hydroxide ion concentration (\([OH^-]\)) in a 0.591 M aqueous solution of trimethylamine. Trimethylamine is a weak base and its base dissociation constant \((K_b)\) is given as \(6.3 \times 10^{-5}\). 

To solve for \([OH^{-}]\), we typically use the base dissociation constant formula related to weak bases:

\[
K_b = \frac{[CH_3]_3 NH^+][OH^-]}{[CH_3]_3 N]
\]

Where:
- \([CH_3]_3 NH^+\) is the concentration of the conjugate acid.
- \([OH^-]\) is the concentration of hydroxide ions.
- \([CH_3]_3 N\) is the initial concentration of the weak base (trimethylamine), which will slightly decrease due to dissociation.

Given the initial concentration and the \( K_b \) value, we can set up an ICE table (Initial, Change, Equilibrium) to solve for \([OH^{-}]\).

This type of analysis is foundational for understanding equilibrium in weak base solutions in Chemistry.
Transcribed Image Text:**Determining Hydroxide Ion Concentration in Aqueous Trimethylamine Solution** The hydroxide ion concentration, \([OH^{-}]\), of an aqueous solution of 0.591 M trimethylamine (a weak base with the formula \((CH_{3})_{3}N\)), \(K_b = 6.3 \times 10^{-5} \), is: \[ [OH^{-}] = \underline{\hspace{5cm}} \, M. \] In this problem, we are required to find the hydroxide ion concentration (\([OH^-]\)) in a 0.591 M aqueous solution of trimethylamine. Trimethylamine is a weak base and its base dissociation constant \((K_b)\) is given as \(6.3 \times 10^{-5}\). To solve for \([OH^{-}]\), we typically use the base dissociation constant formula related to weak bases: \[ K_b = \frac{[CH_3]_3 NH^+][OH^-]}{[CH_3]_3 N] \] Where: - \([CH_3]_3 NH^+\) is the concentration of the conjugate acid. - \([OH^-]\) is the concentration of hydroxide ions. - \([CH_3]_3 N\) is the initial concentration of the weak base (trimethylamine), which will slightly decrease due to dissociation. Given the initial concentration and the \( K_b \) value, we can set up an ICE table (Initial, Change, Equilibrium) to solve for \([OH^{-}]\). This type of analysis is foundational for understanding equilibrium in weak base solutions in Chemistry.
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