Mixing Solutions Calculator Formula

Understand the math behind the mixing solutions calculator. Each variable explained with a worked example.

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Formulas Used

Final Concentration

final_conc = (conc_1 * vol_1 + conc_2 * vol_2) / (vol_1 + vol_2)

Total Volume

total_vol = vol_1 + vol_2

Variables

VariableDescriptionDefault
conc_1Concentration of Solution 1(M)2
vol_1Volume of Solution 1(mL)100
conc_2Concentration of Solution 2(M)0.5
vol_2Volume of Solution 2(mL)200

How It Works

How to Calculate Mixed Solution Concentration

Formula

C_final = (C1 × V1 + C2 × V2) / (V1 + V2)

Based on conservation of moles: total moles = sum of moles from each solution.

Worked Example

Mix 100 mL of 2 M HCl with 200 mL of 0.5 M HCl.

conc_1 = 2vol_1 = 100conc_2 = 0.5vol_2 = 200
  1. 01Moles from solution 1 = 2 × 100 = 200 (in mL·M units)
  2. 02Moles from solution 2 = 0.5 × 200 = 100
  3. 03Total = 300, Volume = 300 mL
  4. 04C_final = 300 / 300 = 1 M

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