Enter the molarity (typically mol/L), the total solution volume, the molar mass (g/mol), and the total mass of the solution into the Molarity To Weight Percent Calculator. The calculator will evaluate the Molarity To Weight Percent.
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Molarity To Weight Percent Formula
The following formula is used to calculate the Molarity To Weight Percent. Use consistent units for molarity and volume (for example, mol/L with L, or mol/mL with mL). If your molarity is in mol/L and your volume is in mL, convert mL to L by dividing by 1000 (or use the unit dropdowns in the calculator above).
WP = (M*V*MW / TM)*100
Variables:
- WP is the weight percent (%, w/w)
- M is the molarity (for example, mol/L)
- V is the total volume of solution (in the matching volume unit for M; for example, L if M is in mol/L)
- MW is the molar mass (g/mol)
- TM is the total mass of the entire solution (g)
| Molarity (mol/L) | Weight Percent (%) |
|---|---|
| 0.01 | 0.058 |
| 0.02 | 0.117 |
| 0.05 | 0.292 |
| 0.10 | 0.584 |
| 0.20 | 1.169 |
| 0.25 | 1.461 |
| 0.30 | 1.753 |
| 0.50 | 2.922 |
| 0.75 | 4.383 |
| 1.00 | 5.844 |
| 1.25 | 7.305 |
| 1.50 | 8.766 |
| 1.75 | 10.227 |
| 2.00 | 11.688 |
| 2.25 | 13.149 |
| 2.50 | 14.610 |
| 2.75 | 16.071 |
| 3.00 | 17.532 |
| 4.00 | 23.376 |
| 5.00 | 29.220 |
| *Assumes sodium chloride (MW 58.44 g/mol), solution density ≈ 1.00 g/mL, and a 1 L basis. Approximation: wt% ≈ M × MW / 10. Actual wt% varies with solution density. | |
How to Calculate Molarity To Weight Percent?
The following steps outline how to calculate the Molarity To Weight Percent.
- First, determine the molarity (typically mol/L).
- Next, determine the total volume of the solution (typically L).
- Next, determine the molar mass (g/mol).
- Next, determine the mass of the entire solution (g).
- Next, gather the formula from above: WP = (M*V*MW / TM) * 100. (Be sure M and V use matching volume units, e.g., mol/L with L.)
- Finally, calculate the Molarity To Weight Percent.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
molarity (mol/L) = 1
total volume of solution (L) = 1
molar mass (g/mol) = 30
total mass of solution (g) = 1,000
WP = (M*V*MW / TM) * 100 = (1*1*30 / 1000) * 100 = 3%
