P1V1/T1 = P2V2/T2 solver, find any one of the six gas quantities, with Boyle, Charles and Gay-Lussac special cases, browser-only
- Runs locally
- Category Calculator
- Best for Getting a realistic range before a purchase, plan, workout, or schedule decision.
P1·V1 / T1 = P2·V2 / T2
Temperatures use the same unit on both sides and must be absolute (kelvin). Need to convert? °C + 273.15 = K.
What this tool does
Free combined gas law calculator that solves P1V1/T1 = P2V2/T2 for whichever of the six quantities you leave blank. Enter five of the pressures, volumes and absolute temperatures for the initial and final gas state, and the tool returns the missing sixth. Unlike the ideal gas law PV = nRT, the combined gas law relates one gas state to another, so no gas constant and no amount of substance are needed, only the ratio between the two states. The one hard rule is that every temperature must be on an absolute scale: the equation divides by T, so a Celsius value gives a physically wrong answer. A built in Celsius to kelvin helper and an inline reminder keep that mistake away. The three classic laws come free from the same equation, with Boyle for constant temperature, Charles for constant pressure and Gay-Lussac for constant volume, each with one click copy. Everything runs in your browser, with a shareable URL that reproduces your exact inputs. 100 percent client side, no upload.
Tool details
- Input
- Numbers
- The page exposes text boxes, numeric controls, file pickers, or structured inputs depending on the tool.
- Output
- Live result + Copy
- The result area focuses on usable output, with copy, download, or preview actions when supported.
- Privacy
- Browser-side processing
- The main tool logic does not call an external API, so inputs normally stay in the current tab.
- Save / share
- Shareable URL state
- Key settings are encoded in the URL so another person can reopen the same setup.
- Performance budget
- Initial JS <= 9 KB
- No WASM budget is declared, keeping the tool quick to open on mobile.
- Best fit
- Calculator · Student
- Category and role tags drive related tools, internal links, and quick fit checks.
How to use
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1. Input
Paste or drop your content into the tool panel.
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2. Process
Click the button. All processing is local in your browser.
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3. Copy / Download
Copy the result or download to disk in one click.
How Combined Gas Law Calculator fits into your work
Use it for fast estimates, comparisons, and planning numbers before you make the final call.
Calculation jobs
- Getting a realistic range before a purchase, plan, workout, or schedule decision.
- Comparing scenarios by changing one input at a time.
- Turning rough assumptions into a number you can discuss.
Calculation checks
- Double-check units, dates, rates, and rounding assumptions.
- Treat health, finance, tax, and legal outputs as planning aids, not professional advice.
- Save the inputs that produced an important result so you can reproduce it later.
Good next steps
These links move the current task into a more complete workflow.
- 1 Ideal Gas Law Calculator Solve PV = nRT for pressure, volume, amount, or temperature — pick any unknown, mix any units, runs in your browser Open
- 2 Temperature Converter One temperature in, all four scales out — Celsius, Fahrenheit, Kelvin, Rankine — live formula, reference points, browser-only Open
- 3 Scientific Calculator Scientific calculator — sin / cos / log / sqrt / power, with full keyboard input + history, deg/rad mode. Open
Real-world use cases
Check a chemistry homework gas problem
A textbook problem gives a gas at 1 atm and 2 L at 300 K, then heats it to 600 K at the same pressure, and asks for the new volume. Enter the five known values, leave V2 blank, and read V2 = 4 L. Because the shareable URL encodes every input, you can paste the link into a study group chat and your classmates open the exact same setup, ready to check their own arithmetic against it.
Predict how a balloon or tire responds to temperature
A balloon at 20 degrees C and 1 atm is taken outside to minus 10 degrees C. Convert both temperatures to kelvin with the built in helper (293.15 K and 263.15 K), hold pressure constant, and the tool shows the volume shrinking by the temperature ratio. The same workflow handles a car tire whose pressure climbs after a highway run, using the constant volume Gay-Lussac case.
Teach the gas laws as one equation, not three
For a teacher, the special case cards make the point that Boyle, Charles and Gay-Lussac are not three separate rules to memorize but one equation with one quantity held fixed. Project the calculator, set two temperatures equal, and watch P1V1 = P2V2 emerge. Then equalize pressures and the relationship becomes V1/T1 = V2/T2. Students see the structure instead of flashcards.
Convert a measured gas change to standard conditions
You measured a gas at lab conditions and want its volume at a reference temperature and pressure. Put the lab state in slots 1, the reference pressure and temperature in slots 2, leave V2 blank, and the calculator scales the volume. Switching which field is blank lets you correct any single quantity to the conditions you care about without re-deriving the formula by hand.
Common pitfalls
Plugging Celsius or Fahrenheit straight into the equation. Temperature MUST be in kelvin because the law divides by an absolute temperature. 25 degrees C is 298.15 K, not 25. Use the Celsius to kelvin helper, or add 273.15 yourself, before the value touches the formula.
Mixing units between the two states. The pressures on both sides must share one unit and the volumes must share another. If V1 is in liters then V2 must be in liters too. The ratio only cancels correctly when each pair of quantities uses the same unit, so pick one and stay consistent.
Reaching for the ideal gas law when nothing tells you the amount of gas. If the problem compares a before and after state of the same sample and never mentions moles, you want P1V1/T1 = P2V2/T2, not PV = nRT. Trying to force in a gas constant and an amount you were never given only invites errors.
Privacy
Every calculation, the combined gas law solve, the Celsius to kelvin conversion and the special case formulas, is plain JavaScript that runs inside your browser tab. Nothing you type is sent to a server and nothing is logged. The one caveat: the shareable URL encodes your six inputs in the query string, so a share link pasted into chat will record those numbers in the recipient server's access log. For homework that is harmless. If a value is sensitive, use the copy button and paste the result text rather than sharing the URL.
FAQ
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