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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (2 M · 100 mL) / (11.5 M) = 17.39 mL Diluent: V₂ − V₁ = 82.61 mL Open this in the calculator to change the numbers.
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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (0.2 M · 500 mL) / (4 M) = 25 mL Diluent: V₂ − V₁ = 475 mL Open this in the calculator to change the numbers.
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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (1 M · 100 mL) / (10 M) = 10 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (0.15 M · 500 mL) / (4.5 M) = 16.67 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (1 M · 500 mL) / (15 M) = 33.33 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (0.1 M · 500 mL) / (4.5 M) = 11.11 mL Diluent: V₂ − V₁ = 488.9 mL Open this in the calculator to change the numbers.
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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (1 M · 400 mL) / (12.5 M) = 32 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (0.3 M · 400 mL) / (8 M) = 15 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (1.5 M · 100 mL) / (11 M) = 13.64 mL 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.
Solve for stock volume: V₁ = (C₂ · V₂) / C₁ Substitute: V₁ = (0.15 M · 100 mL) / (4 M) = 3.75 mL Diluent: V₂ − V₁ = 96.25 mL Open this in the calculator to change the numbers.
More dilutions practice
Same topic, different calculation A fold-dilution series, tube by tube.
Turn a bottle label (%w/w + density) into a safe dilution protocol.
Stuck on one of them? Open it in the calculator and it shows the same working step by step, with the units checked and the hazards flagged. Free, no account, and it keeps working offline once the page has loaded.
Open the Simple dilution calculator