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Engineering

Molarity (M) & lab solution bench-prep mass formula (Grams = M × L × MW)

Convert mass, molar mass and final solution volume to molarity, and calculate theoretical solute mass for a target concentration.

Forward Molarity (mol/L) and reverse bench-scale solute mass (Grams)

Using a molar mass of 58.44 g/mol,29.22 g of the assumed pure solute in a final solution volume of 500 mL gives 1 mol/L. Final solution volume is not the amount of solvent initially added.

A target of 0.15 mol/L in 500 mL gives a theoretical mass of 4.383 g under those assumptions. This is a numerical chemistry exercise, not preparation instructions for medical saline or a sterile product.

Use the molar mass for the actual chemical form, including hydration where applicable. The calculation assumes complete dissolution and the stated purity; it does not adjust for purity, reactions, temperature-dependent volume or activity. Follow a substance-specific validated procedure for physical preparation.

Stoichiometry Calculation (NaCl MW = 58.44 g/mol)FormulaResult
Moles of Solute (29.22 g / 58.44)=A2 / B20.5000 mol
Solution Molarity (29.22 g in 500 mL)=(A2 / B2) / (C2 / 1000)1.0000 M (mol/L)
Grams Needed for 500 mL of 0.15 M solution=D2 * (C2 / 1000) * B24.3830 g NaCl

Molarity (mol/L) from solute grams, Molecular Weight, and volume in mL

Dividing C2 / 1000 converts volumetric flask sizes (100 mL, 250 mL, 500 mL) directly into Liters.

=IF(OR(COUNT(A2:D2)<>4,A2<0,B2<=0,C2<=0,D2<0),"Invalid solution inputs",ROUND((A2 / B2) / (C2 / 1000), 4))

Grams of dry reagent to weigh for Target Molarity D2 in C2 mL

Calculates theoretical mass only. It does not specify a universal mixing procedure.

=IF(OR(COUNT(A2:D2)<>4,A2<0,B2<=0,C2<=0,D2<0),"Invalid solution inputs",ROUND(D2 * (C2 / 1000) * B2, 4))

Try the example

Use the original values or change them to test your understanding.

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