Dilutions

Simple dilution: practice problems

Work out the volume of stock to take and the volume of diluent to add. Every answer here is computed by the same tested calculator the rest of the site uses, so a solution can never drift away from the maths.

Problem 1 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): HCl
  • I have (stock): 11.5 M
  • I need (target): 2 M
  • Final volume: 100 mL
Show the answer and the working

Measure 17.39 mL of 11.5 M HCl and dilute to 100 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (2 M · 100 mL) / (11.5 M) = 17.39 mL
  3. Diluent: V₂ − V₁ = 82.61 mL

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Problem 2 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): NaCl
  • I have (stock): 4 M
  • I need (target): 200 mM
  • Final volume: 500 mL
Show the answer and the working

Measure 25 mL of 4 M NaCl and dilute to 500 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (0.2 M · 500 mL) / (4 M) = 25 mL
  3. Diluent: V₂ − V₁ = 475 mL

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Problem 3 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): HCl
  • I have (stock): 10 M
  • I need (target): 1 M
  • Final volume: 100 mL
Show the answer and the working

Measure 10 mL of 10 M HCl and dilute to 100 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (1 M · 100 mL) / (10 M) = 10 mL
  3. Diluent: V₂ − V₁ = 90 mL

Open this in the calculator to change the numbers.

Problem 4 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): NaCl
  • I have (stock): 4.5 M
  • I need (target): 150 mM
  • Final volume: 500 mL
Show the answer and the working

Measure 16.67 mL of 4.5 M NaCl and dilute to 500 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (0.15 M · 500 mL) / (4.5 M) = 16.67 mL
  3. Diluent: V₂ − V₁ = 483.3 mL

Open this in the calculator to change the numbers.

Problem 5 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): HCl
  • I have (stock): 15 M
  • I need (target): 1 M
  • Final volume: 500 mL
Show the answer and the working

Measure 33.33 mL of 15 M HCl and dilute to 500 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (1 M · 500 mL) / (15 M) = 33.33 mL
  3. Diluent: V₂ − V₁ = 466.7 mL

Open this in the calculator to change the numbers.

Problem 6 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): NaCl
  • I have (stock): 4.5 M
  • I need (target): 100 mM
  • Final volume: 500 mL
Show the answer and the working

Measure 11.11 mL of 4.5 M NaCl and dilute to 500 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (0.1 M · 500 mL) / (4.5 M) = 11.11 mL
  3. Diluent: V₂ − V₁ = 488.9 mL

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Problem 7 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): HCl
  • I have (stock): 12.5 M
  • I need (target): 1 M
  • Final volume: 400 mL
Show the answer and the working

Measure 32 mL of 12.5 M HCl and dilute to 400 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (1 M · 400 mL) / (12.5 M) = 32 mL
  3. Diluent: V₂ − V₁ = 368 mL

Open this in the calculator to change the numbers.

Problem 8 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): NaCl
  • I have (stock): 8 M
  • I need (target): 300 mM
  • Final volume: 400 mL
Show the answer and the working

Measure 15 mL of 8 M NaCl and dilute to 400 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (0.3 M · 400 mL) / (8 M) = 15 mL
  3. Diluent: V₂ − V₁ = 385 mL

Open this in the calculator to change the numbers.

Problem 9 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): HCl
  • I have (stock): 11 M
  • I need (target): 1.5 M
  • Final volume: 100 mL
Show the answer and the working

Measure 13.64 mL of 11 M HCl and dilute to 100 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (1.5 M · 100 mL) / (11 M) = 13.64 mL
  3. Diluent: V₂ − V₁ = 86.36 mL

Open this in the calculator to change the numbers.

Problem 10 Simple dilution

Work out the volume of stock to take and the volume of diluent to add.

  • Reagent (optional): NaCl
  • I have (stock): 4 M
  • I need (target): 150 mM
  • Final volume: 100 mL
Show the answer and the working

Measure 3.75 mL of 4 M NaCl and dilute to 100 mL total volume.

  1. Solve for stock volume: V₁ = (C₂ · V₂) / C₁
  2. Substitute: V₁ = (0.15 M · 100 mL) / (4 M) = 3.75 mL
  3. Diluent: V₂ − V₁ = 96.25 mL

Open this in the calculator to change the numbers.

More dilutions practice

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