Concentration Terms and Solubility
Molarity, molality, mole fraction, ppm and Henry's law. (Chemistry › Solutions, NEET UG syllabus.)
What is Concentration Terms and Solubility?
The number of moles of solute dissolved per litre of solution.
Key formula / rule: Molarity (M)
Key points
- Define and differentiate between various concentration terms: Molarity, Molality, Mole Fraction, Mass %, Volume %, and ppm.
- Perform calculations involving these concentration terms.
- Understand the effect of temperature and pressure on the solubility of solids and gases.
- State and apply Henry's Law to calculate the solubility of gases in liquids.
Common exam trap
Confusing solvent mass/volume with solution mass/volume.
Definitions
- Term
Molarity
- Meaning
The number of moles of solute dissolved per litre of solution.
- Term
Molality
- Meaning
The number of moles of solute dissolved per kilogram of solvent.
- Term
Mole Fraction
- Meaning
The ratio of the number of moles of one component to the total number of moles of all components in the solution.
- Term
Solubility
- Meaning
The maximum amount of a solute that can dissolve in a given amount of solvent at a specific temperature and pressure to form a saturated solution.
- Term
Henry's Law Constant (KH)
- Meaning
A proportionality constant in Henry's Law that relates the partial pressure of a gas above a solution to its mole fraction in the solution. Its value depends on the nature of the gas, solvent, and temperature.
Learning objectives
Define and differentiate between various concentration terms: Molarity, Molality, Mole Fraction, Mass %, Volume %, and ppm.
Perform calculations involving these concentration terms.
Understand the effect of temperature and pressure on the solubility of solids and gases.
State and apply Henry's Law to calculate the solubility of gases in liquids.
Convert between different concentration units.
Formulae
- Name
Molarity (M)
- Note
Temperature-dependent.
- Expression
M = (moles of solute) / (volume of solution in Litres)
- Name
Molality (m)
- Note
Temperature-independent.
- Expression
m = (moles of solute) / (mass of solvent in kilograms)
- Name
Mole Fraction (χ)
- Note
Unitless. Sum of mole fractions of all components is 1.
- Expression
χsolute = (moles of solute) / (total moles of solution) ; χsolvent = (moles of solvent) / (total moles of solution)
- Name
Mass Percentage (% w/w)
- Note
- Expression
Mass % = (mass of solute / mass of solution) × 100
- Name
Volume Percentage (% v/v)
- Note
- Expression
Volume % = (volume of solute / volume of solution) × 100
- Name
Parts per Million (ppm)
- Note
Used for very dilute solutions.
- Expression
ppm = (mass of solute / mass of solution) × 106 (for mass-based) or (volume of solute / volume of solution) × 106 (for volume-based)
- Name
Henry's Law
- Note
P is the partial pressure of the gas above the solution, KH is Henry's Law constant, χ is the mole fraction of the gas in the solution.
- Expression
P = KH * χ
Prerequisites
Basic understanding of moles and molar mass.
Knowledge of mass, volume, and density calculations.
Stoichiometry fundamentals.
Concept of solutions, solute, and solvent.
Common mistakes
Confusing solvent mass/volume with solution mass/volume.
Incorrectly using units (e.g., grams instead of kg for molality, mL instead of L for molarity).
Not converting units properly (e.g., g to kg, mL to L).
Forgetting that Molarity is temperature-dependent while Molality is not.
Applying Henry's Law to gases that react with the solvent (e.g., NH3 in water).
Mixing up the definitions of mole fraction of solute vs. solvent.
Keywords
Molarity
Molality
Mole Fraction
Mass Percentage
Volume Percentage
Parts per Million
Solubility
Henry's Law
Concentration
Solute
Solvent
Solution
Temperature Dependence
Pressure Dependence
Practice preview
Calculate the molarity of a solution prepared by dissolving 40 g of NaOH in enough water to make 250 mL of solution. (Molar mass of NaOH = 40 g/mol)…
easy
According to Henry's law, the partial pressure of a gas in the vapour phase (p) is proportional to the mole fraction of the gas (x) in the solution. The proportionality constant is called:…
easy
If the Henry's law constant for oxygen dissolved in water at 293 K is 3.48 x 10^7 mm Hg, and the partial pressure of oxygen in the air is 159 mm Hg, what is the mole fraction of oxygen in water?…
medium
