Chemistry · 7 min read

Half-life and exponential decay made understandable

Follow how a quantity changes across half-lives and distinguish exponential decay from linear subtraction.

This MayeleCalc guide explains the concept in plain language so you can use the related calculator with better context and confidence. Work through each section, review the practical example, and check the common mistakes before applying the result.

01

Each period removes the same fraction

After one half-life, one-half remains; after two, one-quarter remains; after three, one-eighth remains.

02

Decay is exponential

Half-life is not a fixed amount subtracted repeatedly. The remaining quantity follows an exponential relationship based on elapsed time.

03

Partial periods can be calculated

Elapsed time need not equal a whole number of half-lives. The exponential formula estimates any point in time.

04

Context changes interpretation

Half-life appears in radioactive decay, medicines, and chemistry. The formula may be similar, but assumptions and safety implications differ.

Practical example

See the idea in action

Write concentration in moles per litre before calculating. For [H⁺] = 0.0001 mol/L, pH = −log₁₀(0.0001) = 4.

Common mistakes to avoid

  • ×Entering a concentration in the wrong unit
  • ×Forgetting that pH is logarithmic
  • ×Rounding scientific notation before completing the equation

Key takeaways

  • Units must match the formula
  • A one-unit pH change represents a tenfold concentration change
  • Record both the input precision and final result

Put the idea into practice

Open the calculator library, choose the relevant tool, and compare realistic scenarios using the method from this guide.

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