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Methods for Expressing the Concentration of Solution – Molality, Molarity, Mole Fraction

Are you familiar with the term “concentration”? But do you know how to put it into words? When your lemonade has too much salt in it, you say it’s “too salty.” In Chemistry, however, there is no such thing as “too.” It is necessary to define it. That is why, in this chapter, we will cover everything there is to know about solution concentration. We’ll look at a few different approaches for determining solution concentrations. Several methods can be used to determine the concentration of a solution. Following are some methods.

    • The percent by mass or mass percentage
    • Percent by volume
    • Percent mass by volume
    • Strength or concentration
    • Parts per million
    • Mole fraction
    • Molality
  • Molarity concentration
  • Normality
  • Formality

In this article, we will be learning about methods for expressing the concentration of solutions – molality, molarity, and mole fraction in detail.

Molality

The amount of solute moles available or present in a total of 1 kg of a solvent is known as the molality of the solution. Molality is represented by the letter m. As an example: If there is a gram of solute with a molecular mass of b in a gram of solvent

  1. Molality is a calculation that takes into account the mass of liquids rather than their volume. As a result, this way of describing solution concentration is the most practical.
  2. Unlike the mole fraction approach, this method is not affected by temperature changes.

iii. Molality and solubility have the following relationship:

Molarity

The total number of solute moles per litre or dm3 of the solution is defined as molar concentration, also known as molarity.

According to the definition, it can be calculated using the following formula: Molarity (M) is defined as the number of moles of solute divided by the number of litres of solution.

Consider a solution containing a gram of solute with a molecular mass of b dissolved in V litres. Based on this, the molarity of the solution is

Molarity (M) = a / (b X V)

Mole Fraction

Mole Fraction: When a solution has two or more components, the mole fraction method can be utilised. It’s the ratio of one component’s total moles to the overall number of moles in a particular solution.

Assume the solution contains three components: component A, component B, and component C. Component A has moles of component B have moles of b, and component C has moles of c. As a result, the total moles in the solution are (a + b + c).

The mole fraction of components A, B, and C can be computed in the following fashion, according to the definition of mole fraction.

A = f A = a / (a + b + c)

B = f B = b / (a + b + c)

C = f C = c / (a + b + c)

The mole fraction of components A, B, and C can be computed in the following fashion, according to the definition of mole fraction.

Fact about Mole Fraction: The sum of all component mole fractions is always 1, i.e., f A+ f B + f C = 1.

In the event of a binary solution (i.e. the condition when the solution is made up of only one solute and the remaining is solvent),

Total mole fraction = solute mole fraction + solvent mole fraction = 1

 

Consider the following scenario: a solution containing solute A and solvent B. The solute A mole is a, while the solvent B mole is b. The mole fraction is then:

X A= a / (a + b)

X B= b / (a + b)

Hence, the total mole fraction is:

X A + X B = 1

The methods for expressing the concentration of solutions discussed above are widely utilised. All of the methods describe the same thing: the concentration of a solution, but each has its own set of benefits and drawbacks. Molarity is temperature dependent, whereas mole fraction and molality are temperature independent. All of these approaches are used to express concentrations, which is a prerequisite.

Solids in Liquids

A saturated solution has an excess of solute in contact with it.

Solubility is inversely related to temperature for exothermic compounds such as KOH, CaO, Ca(OH)2, M2CO3, M2SO4, and others.

Solubility of endothermic chemicals like NaCl, KNO3, NaNO3, glucose, and others is proportional to temperature.

Gases and their Solubility

The absorption coefficient,k, which is the volume of gas dissolved per unit volume of solvent at 1 atm pressure and a certain temperature, is the most common way of expressing the solubility of gases. Gases and liquids are solubilised by several factors.

  • Because most gas dissolving is exothermic, temperature solubility is inversely related to temperature
  • Gas nature – Gases with a stronger van der Waals force of attraction, or gases that are easier to liquefy, are more soluble. SO2 and CO2, for example, are more water-soluble than O2, N2, and H2
  • The nature of the solvent — Gases that may ionise in an aqueous solution are more stable in water than in other solvents

Conclusion

This article studied various methods used for expressing the concentration of solution – molality, molarity, and mole fraction. These properties have a wide range of applications in chemistry.