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เครื่องคำนวณการเจือจาง – C1V1 = C2V2

Calculate solution dilutions using C1V1=C2V2. Find final concentration or volume needed.

วิธีใช้เครื่องคิดเลขนี้

  1. ป้อนInitial Concentration (C1)
  2. ป้อนInitial Volume (V1, mL)
  3. ป้อนFinal Concentration (C2)
  4. คลิกปุ่มคำนวณ
  5. อ่านผลลัพธ์ที่แสดงด้านล่างเครื่องคิดเลข

The Dilution Formula: C1V1 = C2V2

The dilution equation C₁V₁ = C₂V₂ states that the amount of solute is conserved when a solution is diluted. C₁ = initial concentration, V₁ = initial volume, C₂ = final concentration, V₂ = final volume.

To dilute a 10 M stock solution to 2 M in 50 mL: V₁ = (2 × 50) ÷ 10 = 10 mL. Take 10 mL of the 10 M solution and add 40 mL of solvent to get 50 mL of 2 M solution.

Dilution in Laboratory Practice

Dilutions are fundamental in biochemistry, molecular biology, and analytical chemistry. Common scenarios: preparing working solutions from stock solutions, creating serial dilutions for assays, and adjusting antibiotic concentrations for microbiology experiments.

Serial dilutions (1:10 repeating) are used in microbiology to estimate bacterial counts and in pharmacology for dose-response curves.

Units and Concentration Types

Concentration can be expressed as: molarity (M = mol/L), percent (% w/v or % v/v), mg/mL, μg/mL, or ppb/ppm. The C1V1=C2V2 formula works with any consistent unit — just ensure C1 and C2 use the same units, and V1 and V2 use the same volume units.

For example: If C1=100 mg/mL and you want C2=5 mg/mL in 200 mL, then V1=(5×200)/100=10 mL. Add 10 mL stock to 190 mL solvent.

อัปเดตล่าสุด: March 2026

Frequently Asked Questions

What does C1V1=C2V2 mean?

This equation means the moles of solute before dilution equal the moles after. Concentration × volume = moles of solute. Since moles are conserved, C1×V1=C2×V2.

How do I make a 1:10 dilution?

Add 1 part of your sample to 9 parts solvent. For example, add 1 mL sample to 9 mL water to get 10 mL at 1/10 the original concentration. This gives a dilution factor of 10.

What is the difference between dilution factor and concentration factor?

Dilution factor = V2/V1 (how much volume increased). Concentration factor = C2/C1 (how much concentration decreased). They are reciprocals: a 10× dilution gives a 0.1× concentration.