For weak electrolyte, AB, the degree of ionization would be (V= volume of solution having 1 mole

For weak electrolyte, AB, the degree of ionization would be...

Key Concepts

Relationship Between Concentration and Ionization

For a weak electrolyte, the initial concentration of the electrolyte directly influences the equilibrium concentrations of the ions and undissociated molecules. When the electrolyte is dissolved in a given volume, the initial molar concentration is determined by the amount of substance and the volume of the solution. Under the assumption of small ionization, simplifications can be made where the degree of ionization is approximated by expressions involving the ionization constant and the initial concentration, highlighting how dilution affects the extent of ionization.

Ionization (Equilibrium) Constant

The ionization constant (or equilibrium constant) for a weak electrolyte quantifies the ratio of the concentrations of the ionized species to the concentration of the undissociated molecules at equilibrium. It is a critical parameter in understanding the balance between the forward ionization and the reverse recombination reactions and plays a key role in determining the degree of ionization.

Weak Electrolyte

A weak electrolyte is a substance that only partially dissociates into ions when dissolved in a solvent. Unlike strong electrolytes that fully ionize, weak electrolytes establish an equilibrium between the undissociated molecules and the ions produced. This incomplete ionization means that their conductive properties and reactivity are limited compared to substances that fully ionize.

Degree of Ionization

The degree of ionization, often denoted by ?, is the fraction of the total number of electrolyte molecules that dissociates into ions in solution. It is a measure of how much of the weak electrolyte is converted into its ionic form at equilibrium, and it is influenced by the intrinsic properties of the electrolyte as well as external conditions such as dilution.

Transcript

00:01 Hello everyone so in this question a weak electrolyte ab is given we have to find out the degree of ionization when v is the volume of the solution having one of electrolyte and k is the ionization constant of the electrolyte okay, so in this question a weak electrolyte a weak electrolyte ab is given okay and ab can be dissociated at equilibrium in at a plus ions plus and b minus ions okay so initially the concentration of a b is one molar that is one moles that is given okay the concentration of a plus ions are zero and the concentration of b minus ion are zero but at temperature at temperature at temperature at equilibrium basically okay so it is equals to one minus alpha here it is alpha and it is also alpha okay so the concentration so these are the number of moles that is that are given okay so the concentration that is number of moles divided by volume of the solution number of moles divided by the volume of solution and again number of moles divided by the volume of the solution okay so we can write it out like this and this is the concentration of a b at equilibrium that is 1 minus alpha by v the concentration of a plus a at equilibrium is alpha by v and the concentration of b minus and at equilibrium is alpha by v okay so according to acid dissociation constant k a is equals to concentration of a plus signs divide multiplied by concentration of b minus i divided by the concentration of ab okay so we can find out it is alpha by v multiply by alpha by v divided by 1 minus alpha by v divided by 1 minus alpha by v okay so since 1 minus alpha is similar to 1 okay and we can write it out as k a is equals to alpha square divided by b square 1 minus alpha divided by v okay so here we can cancel out volume from the volume square okay and we'll get the value of k a is equals to alpha square by v and 1 minus alpha is equals to 1 okay so the k a value is k a is equals to alpha square divided by v and the degree of dissociation that is alpha is equal to k alpha v divided under root so the degree of ionization for a vehicle electrolyte ab is equal to under root k that is dissociation constant multiplied by the volume of the solution.

03:11 Okay, so this is the answer and here the correct option is we will write it as hence the correct option is d...

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