Vant Hoff Factor Equation and Abnormal Molar Mass

Introduction

Molar masses that are calculated to be too high or too low than the actual molar mass are deemed abnormal molar mass.  They are calculated using the colligative characteristics. Among the colloquial features are a higher osmotic pressure, a lower vapour pressure, a lower freezing point, and a higher boiling point. Van’t Hoff factor is used in such cases to find the actual molar mass. 

What is the Van’t Hoff Factor?

  • Because the actual molar mass of a substance is not always equal to the sum of the atomic masses of the atoms making up the substance, a quantity called the Vant Hoff factor is employed to account for this discrepancy. This occurs because the arrangement of atoms in a substance is not constant. To make sense of this variation in setup, the Vant Hoff factor is employed.
  • It is denoted by the symbol i. A material’s degree of association or dissociation in a fluid is the relevant factor. When something that isn’t electrolytic dissolves in water, the value of i will typically always equal 1. When dissolving in water, the number of ions (i) remains constant regardless of how many atoms (N) of the substance are dissolved.
  • Jacobus Henricus Van’t Hoff, the first recipient of the Nobel Prize in Chemistry, is honoured with the naming of this constant. In the case of electrolytic fluids, it is important to note that the measured factor will be smaller than predicted. A greater divergence is seen at higher ion charges.

Effects of Association/Dissociation

  • The combining of 2 or more substances to produce a single object is known as an association. Carboxylic acids show a high degree of association through hydrogen bonding.
  • Dissociation is the process by which a substance is split up into its constituent ions. Sodium chloride breaks down into Cl- and Na+ ions when exposed to water.
  • The following table summarizes the consequences of a solute’s dissociation or even association on the Van’t Hoff factor. 

Abnormal Molar Masses

An irregularity in molecular mass occurs in the following cases:

  •  The dissolution of solute components into many ions increases the total particle content and hence enhances the colligative features of the mixture.
  • Due to the inverse relationship between molar mass and colligative properties, we anticipate a smaller final outcome.
  • Since the number of solute particles is reduced as a result of their interactions, colligative characteristics are also reduced. Readings of molar mass in this scenario will be higher than expected.

Summary

Molar mass is the overall no. of moles available in a solution following solute association or even dissociation.  Abnormal molar mass occurs when the molar mass is less than or more than the predicted value. The Van’t Hoff factor gives accurate data on how solutes affect the colligative properties of fluids. It will always be smaller than one for solutes that show an association. The factor will be greater than one for dissociating solutes. It will be one for particles that demonstrate no association or even dissociation.

Frequently Asked Questions

1. What is the difference between the Vant Hoff factor and the activity coefficient? 

Ans. The Vant Hoff factor is a measure of the degree of dissociation of a solute in a solution. The activity coefficient is a measure of the degree of ionization of a solute in a solution.

2.Does van’t hoff factor depends on solvent?

Ans. Since colligative properties depend only on the number of solute particles, there is no affect of solvent. Hence vant hoff factor does not depend on the solvent. 

3. Does Vant hoff factor always have an integral value?

Ans. The van’t Hoff factor is a positive number, but it isn’t always an integer value. It is 1 for a solute that does not dissociate into ions, greater than 1 for most salts and acids, and less than 1 for solutes that form associations when dissolved.

Melting point of ice and boiling point of water

Introduction

The different forms of \({H_2}O\) in three different phases are ice (solid), water (liquid), and gas (vapour). The intermolecular spaces in solid particles are very low, they are tightly bound to each other. The intermolecular spaces are comparatively higher in liquids and become maximum in vapours. With the increase in temperature, the kinetic energy of the molecule increases, and the intermolecular interaction between the particles decreases. That is why, on the application of heat, ice is transformed into water and then to vapour Melting and boiling depend on the pressure of the environment. On this basis, a pressure cooker is used to make food in daily life.

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 solids are tightly bound to each other as compared to liquids. Gases are very loosely bound to each other.

What is the melting point of ice?

The melting point of a substance is the temperature at which a solid and liquid phase may coexist in equilibrium, and the temperature at which matter changes from solid to liquid form. The term applies to pure liquids and solutions. The melting point depends on pressure, so it should be specified. This melting point of ice is 0℃. If the temperature increases beyond the melting point, it doesn’t increase the temperature of the matter. Rather, it helps to transform the ice completely into the water. This is known as the ‘latent heat of fusion’ of ice.

What is the boiling point of water? 

With the addition of further heat, the water (liquid) reaches its vapour phase (gaseous state) at a particular temperature. This is the boiling point of water. The boiling point of water is 100℃. The heat that helps to convert the whole water into the gaseous state is known as the ‘latent heat of vaporisation’ of water. 

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Method to determine the melting point of ice:

The melting point of ice is 0℃. It is determined in a laboratory in the following steps-

  • Some ice cubes are taken in a beaker and a thermometer is dipped in it. 
  • Heat is applied gently by the Bunsen burner below the beaker.
  • The changes in the state of the ice are monitored every minute and the temperature is recorded at which the whole ice is transformed into water. 
  • The temperature at which the ice starts melting is noted as \({t_1}\) and the temperature when all the ice melts is noted as \({t_2}\).
  • Then the average of \({t_1}\) and \({t_2}\) is calculated. This mean temperature is known as the melting point of ice. 

In this way, the melting point of ice is determined.

The ice (-4℃) is transformed into ice at 0℃. Then the ice starts to melt into water and on further heating, the water transforms into a vapour state at 100℃.
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Method to determine the boiling point of water:

The water boils at 100℃. It is measured in the laboratory in the following steps-

  • A suitable amount of water is taken in a round bottom flask and its mouth is sealed properly with a rubber cork. 
  • A thermometer is inserted through a hole in the cork into the r.b flask without touching the water surface. 
  • The r.b flask is then heated by a Bunsen burner, and placed on the bottom of a wire gauge supported by a tripod stand. 
  • A thermometer reading is taken at a certain interval and the temperatures are recorded. 
  • A thermometer reading is taken continuously throughout the boiling of water. 

In such a way, the boiling point of water is measured. 

melting point of ice is 0℃ and the boiling point of water is 100℃.

Factors influencing the melting point and boiling point: 

FactorsMelting pointBoiling point
Pressure With an increase in pressure, the melting point decreases.With an increase in pressure, the boiling point increases. 
Impurities Impurities like soluble salts decrease the melting point. The presence of impurities increases the boiling point.
Size of substance With an increase in the size of the substance, the melting point increases.With an increase in the size of thesubstance, van der Waals interaction increases henceboiling point increases. 
Intermolecular forcesThe melting point increases with an increase in intermolecular interactions, as more energy is needed for bond cleavage.The stronger the intermolecular forces, the lower the vapour pressure. As a result, the boiling point increases. 

Summary: 

The temperature at which ice starts to melt into water is called the melting point of ice (0℃). And the temperature at which water starts to form vapour is termed the boiling point of water (100℃). Intermolecular interaction decreases while moving from ice to water to gas. So, through the melting point of a solid and the boiling point of the liquid, one can have an idea about the extent of interaction among the particles. Moreover, the presence of impurities can be determined from the melting and boiling point values. 

Frequently Asked Questions 

1. Can the size of a molecule affect the melting point value?

Ans: With an increase in size, the van der Waals forces among the molecules increases. As the melting point highly depends on attractive forces i.e. van der Waals interaction, the size can impact the melting point value of the molecule. 

2. Why is the boiling point of water always considered to be 100℃?

Ans: The liquid will start to boil once the vapour pressure of the liquid matches the atmospheric pressure in the region. The point at which water boils is highly influenced by the vapour pressure. At 100℃, the vapour pressure around sea level equals the surrounding air pressure. So, it is considered the boiling point of water. 

3. How can one identify a substance by its melting point?

Ans: Various organic, as well as inorganic compounds, can be identified from their melting point. Also, the extent of purity can be known from their melting point values. If the substance is pure, it will show a sharp melting point instead of a range of melting points in case of an impure substance.