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Calculate Ph of 0.10m C4h9nh2

Reviewed by Calculator Editorial Team

Butylamine (C4H9NH2) is a weak base that can form a buffer solution when dissolved in water. Calculating its pH helps understand its behavior in aqueous solutions. This guide explains how to calculate the pH of a 0.10M butylamine solution and interpret the results.

Introduction

Butylamine (C4H9NH2) is an organic amine with a butyl group attached to an amino group. When dissolved in water, it undergoes partial dissociation to form butylammonium ions (C4H9NH3+) and hydroxide ions (OH-).

The pH of a butylamine solution depends on its concentration and the equilibrium between the undissociated base and its conjugate acid. For dilute solutions of weak bases, the Henderson-Hasselbalch equation can be used to estimate the pH.

Calculation Method

The pH of a weak base solution can be calculated using the Henderson-Hasselbalch equation:

Henderson-Hasselbalch Equation

pH = pKa + log([Base]/[Acid])

Where:

  • pKa is the negative logarithm of the acid dissociation constant of the conjugate acid
  • [Base] is the concentration of the undissociated base
  • [Acid] is the concentration of the conjugate acid

For butylamine, the pKa value is approximately 10.75. In a 0.10M solution, the concentration of butylammonium ions ([Acid]) equals the concentration of butylamine ([Base]) because the solution is dilute and the base is weak.

Example Calculation

Let's calculate the pH of a 0.10M butylamine solution:

  1. Identify the pKa of butylamine: 10.75
  2. Determine the concentration of butylamine: 0.10M
  3. Assume the concentration of butylammonium ions equals the concentration of butylamine: 0.10M
  4. Apply the Henderson-Hasselbalch equation:

    pH = 10.75 + log(0.10/0.10)

    pH = 10.75 + log(1)

    pH = 10.75 + 0

    pH = 10.75

The calculated pH of a 0.10M butylamine solution is 10.75.

Interpretation

A pH of 10.75 indicates that the solution is basic, which is expected for a weak base like butylamine. The pH is slightly higher than the pKa value because the concentration of butylamine is equal to the concentration of its conjugate acid.

This calculation assumes the solution is dilute and that the base is weak. For more concentrated solutions or stronger bases, additional factors like the activity coefficient or the effect of water dissociation might need to be considered.

FAQ

What is the pKa of butylamine?

The pKa of butylamine is approximately 10.75. This value represents the acid dissociation constant of the butylammonium ion.

How does the concentration of butylamine affect the pH?

The pH of a butylamine solution increases as the concentration of butylamine increases, assuming the concentration of the conjugate acid remains constant.

Can the Henderson-Hasselbalch equation be used for all weak base solutions?

The Henderson-Hasselbalch equation provides a good approximation for dilute solutions of weak bases. For more concentrated solutions or stronger bases, additional factors might need to be considered.