The moles to molarity calculator is an essential tool in chemical calculations that helps convert the number of moles of a solute into its molarity (molar concentration) in a solution.
Molarity is a crucial measurement in chemistry that expresses the concentration of a solution in terms of moles of solute per liter of solution. This calculator streamlines complex chemical calculations, making it invaluable for both students and professionals in chemistry laboratories.
Imagine you have 2.5 moles of sodium chloride (NaCl) dissolved in water to make 500 milliliters of solution. A moles to molarity calculator help you determine that the molarity is 5.0 molar (M), saving you time and reducing the chance of mathematical errors in your calculations.
Moles to Molarity Calculator
| Solute | Moles | Volume (mL) | Volume (L) | Molarity (M) |
|---|---|---|---|---|
| NaCl | 2.0 | 500 | 0.5 | 4.0 |
| KOH | 1.5 | 300 | 0.3 | 5.0 |
| H₂SO₄ | 0.75 | 150 | 0.15 | 5.0 |
| CaCl₂ | 3.0 | 1000 | 1.0 | 3.0 |
| NaOH | 0.25 | 100 | 0.1 | 2.5 |
Moles to Molarity Conversion Formula
The formula for converting moles to molarity is:
Molarity (M) = Number of moles of solute / Volume of solution in litersOr expressed as:
M = n / VWhere:
- M = Molarity (moles per liter, mol/L, or M)
- n = Number of moles of solute
- V = Volume of solution in liters (L)
Remember that the volume must be in liters. If you have measurements in milliliters or other units, you’ll need to convert them first.
If you have 1.5 moles of potassium hydroxide (KOH) dissolved in 0.75 liters of solution:
M = 1.5 mol / 0.75 L = 2 MThe resulting solution has a concentration of 2 molar (2 M).
How to Convert Moles to Molarity?
Here’s a detailed step-by-step process:
- Identify the given values:
- Number of moles of solute
- Volume of solution
- Convert the volume to liters if necessary:
- volume is in mL, divide by 1000
- volume is in cm³, divide by 1000
- Apply the molarity formula: Divide the number of moles by the volume in liters
Let’s solve a problem where we have 3 moles of potassium hydroxide (KOH) in 750 milliliters of solution.
- Convert 750 mL to L: 750 mL ÷ 1000 = 0.75 L
- Apply the formula: Molarity = 3 moles ÷ 0.75 L = 4 M
The solution has a concentration of 4 molar (4 M).
Example Moles to Molarity Conversions
Let’s perform several conversions to demonstrate different scenarios:
Sulfuric Acid Solution: Moles: 1.5 moles, Volume: 250 mL
Calculation: 1.5 moles ÷ (250/1000) L = 6 M
Glucose Solution: Moles: 0.5 moles, Volume: 2000 mL
Calculation: 0.5 moles ÷ (2000/1000) L = 0.25 M
References
- Royal Society of Chemistry – “Concentration and Molarity” – https://edu.rsc.org/
- American Chemical Society – “Solutions and Concentration” – https://www.acs.org/education/resources
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