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Molarity Calculator

Molarity Calculator

Calculate molarity, moles, volume, mass, solution dilution, mixing, and gas solubility with step-by-step solutions and detailed explanations.

100% FreeStep-by-Step SolutionsChemistry Calculations
Molarity Calculator
Select calculation mode and enter values to calculate molarity, moles, volume, mass, dilution, mixing, or gas solubility

Number of moles of solute

Volume of solution

Key Concepts

Amount of Substance (n)

The amount of substance, measured in moles (mol), represents the number of particles (atoms, molecules, ions) in a sample. One mole contains 6.022×10236.022 \times 10^{23} particles (Avogadro's constant).

Molarity (c)

Molarity is defined as the number of moles of solute per liter of solution: c=nVc = \frac{n}{V}. It's the most common concentration unit in chemistry laboratories.

Molar Volume

At standard temperature and pressure (STP: 273.15 K, 101.325 kPa), one mole of any ideal gas occupies 22.4 L22.4 \text{ L}. This is useful for converting between gas volumes and moles.

Practical Applications
  • Laboratory preparation: Calculate exact amounts needed to prepare solutions of specific concentrations.
  • Chemical reactions: Use molarity to determine stoichiometric relationships in reactions.
  • Quality control: Verify solution concentrations in manufacturing and pharmaceutical industries.
  • Dilution protocols: Prepare working solutions from stock solutions efficiently.
Important Notes
  • Always ensure units are consistent (convert mL to L when necessary).
  • Molarity depends on temperature - volume changes with temperature.
  • For gas solubility, actual results may differ if the gas reacts with water (e.g., HCl, NH₃).
  • When mixing solutions, ensure they contain the same solute to avoid precipitation.
How to Use This Calculator

Select a calculation mode, enter the required values, and click "Calculate" to get step-by-step solutions with detailed explanations.

Molarity: Calculate concentration from moles and volume using c=nVc = \frac{n}{V}.
Moles: Find the number of moles from molarity and volume using n=c×Vn = c \times V.
Volume: Determine the volume needed using V=ncV = \frac{n}{c}.
Mass: Convert between moles and mass using m=n×Mm = n \times M.
Dilution: Calculate using C1V1=C2V2C_1 V_1 = C_2 V_2.
Mixing: Find final concentration using C=C1V1+C2V2V1+V2C = \frac{C_1 V_1 + C_2 V_2}{V_1 + V_2}.
Gas Solubility: Calculate molarity when gas dissolves in water.