CalcaTools

Combined Gas Calculator

Calculates combined gas law using P₂ = P₁ × V₁ × T₂ ÷ (T₁ × V₂), temperatures in kelvin, right in your browser.

Last updated: June 2026 · Free · No sign-up required

Results

Enter values above and click Calculate to see your result instantly.

What the Combined Gas Calculator does

Under the hood, this calculator applies P₂ = P₁ × V₁ × T₂ ÷ (T₁ × V₂), temperatures in kelvin, so the combined gas law calculator result you see is genuine math, not a lookup table.

If you are new to combined gas law calculator, start with the worked example in the methodology section below — it walks the formula end-to-end with real numbers — then use the quick-reference table for common scenarios.

Quick reference

Held constantLawRelationship
TemperatureBoyleP₁V₁ = P₂V₂
PressureCharlesV₁÷T₁ = V₂÷T₂
VolumeGay-LussacP₁÷T₁ = P₂÷T₂
NothingCombinedP₁V₁÷T₁ = P₂V₂÷T₂

functions Shows the working, not just the answer

For students and teachers, the final number is only half the value. Every math tool here exposes the formula it applied, the intermediate steps, and the rounding rule, so you can follow along, check your homework, or use the answer in a proof or report with confidence.

calculate Accurate to the spec

Calculations use 64-bit floating point with sensible rounding for the domain (currency to 2 decimals, percentages to 4 decimals, algebra to 6 significant figures). Where exact rational arithmetic matters — fractions, factorials, simplification — we use a dedicated BigNumber path so 1/3 + 1/6 returns ½, not 0.49999.

school Free for classroom use

Educators are welcome to link to any math calculator on CalcaTools from a class site, Google Classroom, or worksheet. The pages are mobile-friendly, free, ad-supported (so we can keep them free) and have no sign-up wall — students just click and use them in class or at home.

tips_and_updates Pair with the spoke articles

Below the calculator we link a small set of plain-English explainer pages — "What is a percentage?", "Why does PEMDAS matter?", and so on. They cover the underlying concept in 4–6 short paragraphs. Read those before the calculator if the topic is new, or after if you want the extra context.

Interpretation guide

ChangeEffect on P₂
Volume halvedPressure doubles (T fixed)
Temperature upPressure rises (V fixed)
Both V↓ and T↑Effects multiply

Formula & methodology

Formula: P₂ = P₁ × V₁ × T₂ ÷ (T₁ × V₂), temperatures in kelvin

  1. Enter the initial pressure, volume and temperature (kelvin: °C + 273.15).
  2. Enter the final volume and temperature.
  3. The tool rearranges P₁V₁÷T₁ = P₂V₂÷T₂ to P₂ = P₁V₁T₂÷(T₁V₂) and verifies both sides match.

Example: P₁ = 1 atm, V₁ = 2 L, T₁ = 300 K, compressed to 1 L at 350 K → P₂ = 2.333 atm.

Frequently asked questions

What is the combined gas law?
P₁V₁÷T₁ = P₂V₂÷T₂ — the merger of Boyle’s, Charles’s and Gay-Lussac’s laws for a fixed amount of gas, letting pressure, volume and temperature all change at once.
Why must temperature be in kelvin?
The law needs absolute temperature — doubling °C does not double thermal energy, but doubling kelvin does. Convert with K = °C + 273.15.
What units do pressure and volume need?
Any units, as long as they match on both sides — atm with atm, liters with liters. Only the temperature must specifically be kelvin.
How is this different from the ideal gas law?
PV = nRT introduces the amount of gas n. The combined law is what you get when n is fixed — two snapshots of the same sealed sample.
What if my gas amount changes?
Then the combined law does not apply — use PV = nRT for each state, or the molar form P₁V₁÷(n₁T₁) = P₂V₂÷(n₂T₂).