Percent Dissociation Formula - What is Dissociation, How to Calculate Percent Dissociation along with FAQs (2024)

What is Dissociation?

A dissociation reaction occurs when water splits into hydrogen and hydroxide ions. When a molecular compound dissociates into ions, the reaction is known as ionisation. When acids dissociate, hydrogen ions are produced.

A dissociation reaction is a chemical reaction that occurs when a compound separates into two or more components.

A dissociation reaction’s general formula is as follows:

AB → A + B

Dissociation reactions are usually chemical reactions that can be reversed. When there is only one reactant but multiple products, this is an indication of a dissociation reaction.

Water molecules break apart the ionic crystal when ionic compounds dissociate. This is due to the attraction of the positive and negative ions in the crystal, as well as the negative and positive polarity of water.

While writing a dissociation reaction in which a compound is broken down into its constituent ions, charges are placed above the ion symbols and balance the equation for both mass and charge.

Table of Contents

  • How to Calculate Percent Dissociation?
  • Solved Examples
  • Frequently Asked Questions – FAQs

How to Calculate Percent Dissociation?

Strong acids and bases completely dissociate when placed in water. That is, the entire acid [HA] or entire base [BOH] separates into ions.

Weak acids and weak bases, on the other hand, do not completely dissociate in an aqueous solution. The dissociation constant Ka and Kb describes the extent to which they separate:

Ka = ([H+][A]) ÷ [HA]

Kb = ([B+][OH] ÷ [BOH]

Ka and Kb can be used to calculate the percentage of a weak acid or weak base that is dissociated in a solution with a known pH and pOH.

A symbol that denotes percent dissociation is α (alpha). Dissociation is simply the conversion of a compound into its respective ions in a suitable solvent. The percentage of dissociation of a compound will vary depending on the solvent.

Step to calculate percent dissociation-

  1. To calculate the percentage of dissociation of a compound, divide the mass of the dissociated ions by the total mass of the dissociated and not dissociated compound, then multiply by 100.
  2. In general, not all compounds will be soluble in all solvents. Few compounds will be soluble in the sense of dissociating into their respective ions.
  3. If we calculate the percent dissociation of acid, we call it acid dissociation, and if we calculate the percent dissociation of a base, we call it base percent dissociation.
  4. The percentage of dissociation will be determined by the concentration of the acid, base, or neutral compound.
  5. The percentage of dissociation of an acid or a base will be determined by its strength.
  6. If the acid is too strong, it will have a high percentage of dissociation, whereas if the acid is too weak, it will have a low percentage of dissociation. In the same way, the percentage of dissociation will apply to the strength of the base.

Read more:

  • Ka in Chemistry
  • pKa
  • pKa to Ka
  • pKa to pH

Solved Examples

Example 1:

A weak acid has a pKa of 4.994 and the solution pH is 4.523. What percentage of the acid is dissociated?

Solution:

1. Convert pKa to Ka:

Ka = 10-pKa = 10–4.994 = 1.0139 x 10–5

HA ⇌ H+ + A

The equilibrium expression for that dissociation is as follows:

Ka = ([H+] [A]) / [HA]

2. [H+] = 10–pH = 10–4.523 = 3.00 x 10–5 M

We know that [A] = [H+] = 3.00 x 10–5 M because of the 1:1 molar ratio in the above equation.

3. Calculate [HA] by the equilibrium expression.

1.0139 x 10–5 = [(3.00 x 10–5) (3.00 x 10–5)] ÷ x

x = 8.88 x 10–5 M

4. The percent dissociation of acid is [H+] ÷ [HA] multiplied by 100.

α = (3.00 x 10–5 ÷ 8.88 x 10–5) × 100 = 33.8%.

Example 2:

Calculate the percent dissociation of a weak acid in a 0.060M solution of HA (Ka = 1.5 × 10–5).

Solution:

1. Calculate the concentration of H+.

Ka = ([H+] [A]) / [HA]

1.5 × 10–5 = x2 ÷ 0.060 – x

2. Since, the acid dissociates to a very small extent, it can be assumed that x is small. Therefore, the above equation can be written as-

1.5 × 10–5 = x2 ÷ 0.060

x = [H+] = 9.4 × 10–4

3. To calculate the percent dissociation, divide the concentration of the hydrogen ion by the concentration of the undissociated species, HA, and multiply by 100 percent:

α = (9.4 × 10–.4 ÷ 0.060) × 100 = 1.6%.

Frequently Asked Questions on Percent Dissociation Formula

Q1

What is the formula for calculating percent dissociation?

Divide the total mass of dissociated and undissociated species by the mass of dissociated ions, then multiply by 100 percent.

Q2

What factors influence percent dissociation?

The percentage dissociation of acid varies with its concentration. The higher the percentage of ionisation, the more dilute the acid.

Q3

How can you increase the percentage of dissociation?

Diluting a weak acid causes the concentration of a reaction’s products to shift to the left, causing the acid to dissociate more in order to reestablish equilibrium, increasing the percent dissociation.

Q4

Write down the factors that influence the degree of ionisation.

Factors influencing the degree of dissociation include:

  • Nature of solute: Strong electrolytes have a degree of dissociation close to one, while weak electrolytes have a degree of dissociation less than one.
  • Nature of solvent: A solvent with a high dielectric constant has a higher degree of dissociation.
  • Dilution: As the solution is diluted, the degree of dissociation increases.
  • Temperature: As the temperature rises, so does the degree of dissociation.
  • Other species addition: The addition of another solute with an ion similar to that of weak electrolyte results in a decrease in the degree of dissociation of the weak electrolyte.
Percent Dissociation Formula - What is Dissociation, How to Calculate Percent Dissociation along with FAQs (2024)

FAQs

Percent Dissociation Formula - What is Dissociation, How to Calculate Percent Dissociation along with FAQs? ›

To calculate the percentage of dissociation of a compound, divide the mass of the dissociated ions by the total mass of the dissociated and not dissociated compound, then multiply by 100. In general, not all compounds will be soluble in all solvents.

How do you calculate the percentage of dissociation? ›

Divide the mass of dissociated ions by the total mass of dissociated and undissociated species; then multiply by 100 percent. You can do this by moles, too, if you use the proper coefficients from the balanced reaction.

What is the percent dissociation concept? ›

The percent dissociation can be defined as the ratio of amount of acid or base disassociated to the initial concentration of such acid or base, multiplied by 100. I am also presenting an illustration here to make it clear. Question: A weak acid has a pKa of 4.994 and the solution pH is 4.523.

What is the dissociation rate formula? ›

The dissociation rate constant is defined using Koff. The Michaelis-Menten constant is denoted by Km and is represented by the equation Km= (Koff + Kcat)/ Kon. The rates that the enzyme binds and dissociates from the substrate are represented by Kon and Koff respectively.

What is the formula for dissociation in chemistry? ›

A dissociation reaction is a chemical reaction in which a compound breaks apart into two or more components. The general formula for a dissociation reaction follows the form: AB → A + B.

How do you calculate percent dissolved? ›

The percent can further be determined in one of two ways: (1) the ratio of the mass of the solute divided by the mass of the solution or (2) the ratio of the volume of the solute divided by the volume of the solution.

What is the formula for calculating the dissociation constant? ›

The dissociation constant is generally calculated by dividing the individual concentration of the dissociated ion by the concentration of the solution.

What is dissociation in simple words? ›

Dissociation is a mental process of disconnecting from one's thoughts, feelings, memories or sense of identity.

Which is an example of dissociation formula? ›

Dissociation Reaction Examples

NaCl(s) ⇄ Na+(aq) + Cl(aq) HCl ⇄ H+(aq) + Cl(aq) H2SO4 ⇄ 2H+(aq) + SO42-(aq) Fe2(SO4)3(s) ⇄ 2Fe3+(aq) + 3SO42-(aq)

How to solve dissociation? ›

This page offers some practical suggestions for helping you cope with dissociation, such as:
  1. Keep a journal.
  2. Try visualisation.
  3. Try grounding techniques.
  4. Think about practical strategies.
  5. Make a personal crisis plan.
  6. Talk to people with similar experiences.
  7. Look after your wellbeing.
  8. Dealing with stigma.

Is percent dissociation the same as percent ionization? ›

Answer and Explanation: The ionization of ionic compounds is the same as its dissociation into ions in solution. For example, acids dissociate into H + i o n s and its conjugate base ion. Percent Ionization or Percent dissociation is the percentage of the ionic compound dissociated or ionized.

What is the general equation for dissociation? ›

The acid dissociation constant (Ka) is calculated using the equation Ka = [H+][A-]/[HA], where [H+] is the concentration of hydrogen ions, [A-] is the concentration of the conjugate base, and [HA] is the concentration of the acid. →What is the dissociation constant of a weak acid?

How does dissociation work in chemistry? ›

Dissociation in chemistry is a general process in which molecules (or ionic compounds such as salts, or complexes) separate or split into other things such as atoms, ions, or radicals, usually in a reversible manner.

How can we calculate degree of dissociation? ›

How to Find Degree of Dissociation? The degree of dissociation is calculated by dividing the amount of dissociated material by the total amount of the substance, which can be expressed in molecules or moles.

What is the formula for the fraction of dissociation? ›

The dissociation fraction ( ) for weak acids and bases is given by different formulas. For an acid (e.g., CH 3 COOH ), the dissociation fraction α = [ A − ] [ H A ] + [ A − ] . For a base (e.g., NH 4 OH ), the dissociation fraction α = [ B + ] [ B ] + [ B + ] .

What is the percentage dissociation of 0.1 M? ›

(D) 0.01% Hint: Any acid dissociates into ions according to the dissociation constant of that acid. Not all the acid molecules are dissociated in the solution.

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