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Boyle's Law Calculator (P₁V₁=P₂V₂)

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In an isothermal process, gas pressure is inversely proportional to volume: given the initial pressure/volume and one final quantity, solve the other (temperature constant).

Key points

Boyle's Law Calculator (P₁V₁=P₂V₂): In an isothermal process, gas pressure is inversely proportional to volume: given the initial pressure/volume and one final quantity, solve the other (temperature constant). Formula: P₁V₁ = P₂V₂ (isothermal process, T constant). Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Boyle's law: at constant temperature, the pressure of a fixed amount of gas is inversely proportional to its volume (P₁V₁ = P₂V₂). Applies to isothermal processes of an ideal gas; real gases deviate notably near liquefaction conditions.

Inputs

P₁V₁ = P₂V₂ (isothermal process, T constant)

Calculation model (updates with parameters)

V₁ = 1 LP₁ = 101.3 kPaV₂ = 0.5 LP₂ = 202.7 kPaIsothermal compression / expansion
Final volume V₂0.5L
Final volume (liters)0.5L
PV product (constant)101Pa·m³

Engineering notes

  • Boyle's law: at constant temperature, the pressure of a fixed amount of gas is inversely proportional to its volume (P₁V₁ = P₂V₂).
  • Applies to isothermal processes of an ideal gas; real gases deviate notably near liquefaction conditions.
  • Compression ratio = V₁/V₂ = P₂/P₁, commonly used for cylinders, pneumatic energy storage and compressor estimates.

FAQ

What is Boyle's Law Calculator (P₁V₁=P₂V₂) for?
In an isothermal process, gas pressure is inversely proportional to volume: given the initial pressure/volume and one final quantity, solve the other (temperature constant).
What is the formula for Boyle's Law Calculator (P₁V₁=P₂V₂)?
Core formula: P₁V₁ = P₂V₂ (isothermal process, T constant). The tool returns results instantly using this formula and the selected parameters.
What engineering notes should I keep in mind when using Boyle's Law Calculator (P₁V₁=P₂V₂)?
Boyle's law: at constant temperature, the pressure of a fixed amount of gas is inversely proportional to its volume (P₁V₁ = P₂V₂). Applies to isothermal processes of an ideal gas; real gases deviate notably near liquefaction conditions. Compression ratio = V₁/V₂ = P₂/P₁, commonly used for cylinders, pneumatic energy storage and compressor estimates.