Enter the amount of solute and target molarity into the calculator to determine the required solution volume. The calculator accepts both moles (mol) and millimoles (mmol) and returns the answer in liters and milliliters.
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Molarity to Volume Formula
The following formula is used to calculate the required solution volume from a known amount of solute and target molarity.
V = n / C
Molarity is defined as C = n / V. Rearranging that equation gives V = n / C, which is the relationship used by this converter.
Variables:
- V is the required solution volume in liters
- n is the amount of solute in moles
- C is the target molarity in mol/L
To calculate volume, divide the amount of solute in moles by the target molarity. If the amount is given in millimoles, convert it to moles first before applying the formula.
What is Molarity to Volume Conversion?
Molarity to volume conversion is used to determine how much total solution volume is needed to achieve a desired concentration when the amount of solute is already known. Since molarity expresses concentration as moles per liter, this conversion is common in chemistry, laboratory preparation, dilution planning, and general solution making. Once the amount of solute and the target molarity are known, the required volume can be found directly using the formula V = n / C.
How to Calculate Volume from Molarity?
The following steps outline how to calculate the solution volume from molarity.
- First, determine the amount of solute.
- If needed, convert the amount into moles. For example, 1 mmol = 0.001 mol.
- Next, determine the target molarity in mol/L.
- Calculate the required volume using the formula V = n / C.
- Convert liters to milliliters if desired by multiplying by 1000.
- Check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Amount of Solute (n) = 0.50 mol
Target Molarity (C) = 0.25 mol/L
Required Volume (V) = 0.50 / 0.25 = 2.00 L = 2000 mL
Molarity to Volume Example Table
The following table shows sample combinations of solute amount and molarity and the corresponding required volume.
| Amount of Solute (mol) | Molarity (mol/L) | Required Volume |
|---|---|---|
| 0.50 mol | 0.25 mol/L | 2.00 L (2000 mL) |
| 0.10 mol | 0.50 mol/L | 0.20 L (200 mL) |
| 0.01 mol | 0.10 mol/L | 0.10 L (100 mL) |
| 0.005 mol | 0.25 mol/L | 0.02 L (20 mL) |
| 1.00 mol | 1.00 mol/L | 1.00 L (1000 mL) |
| 0.002 mol | 0.20 mol/L | 0.01 L (10 mL) |
| 0.75 mol | 0.50 mol/L | 1.50 L (1500 mL) |
In practical solution preparation, this relationship makes it easy to scale formulas, compare concentrations, and determine how much solvent is required for a given amount of dissolved substance.