Science & Engineering

Gas Law Calculator

Solve the combined gas law for the final temperature T2. Enter the initial pressure, volume, and temperature along with the final pressure and volume, and the tool returns T2 in kelvin. Free and runs in your browser.

What this calculator does

The Gas Law Calculator estimates your result instantly from the values you enter, using standard science & engineering formulas. Solve the combined gas law for the final temperature T2. Enter the initial pressure, volume, and temperature along with the final pressure and volume, and the tool returns T2 in kelvin. Free and runs in your browser. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.

Combined Gas Law Calculator

Result

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Final Temp T2 (K)

About Gas Law Calculator

This Combined Gas Law Calculator rearranges P₁V₁ ÷ T₁ = P₂V₂ ÷ T₂ to solve for the final temperature. Enter the initial pressure P1, initial volume V1, and initial temperature T1 in kelvin, then the final pressure P2 and final volume V2.

The result is T2 = T1 × (P2 × V2) ÷ (P1 × V1), rounded to three decimals and reported in kelvin.

Formula & Mathematical Calculation

Final Temp T2 (K) = f(P1, V1, T1 (K), P2, V2)

Calculated according to standard science formulas implemented in the calculator core.

Calculation Example

Starting with P1 = 1, V1 = 2, T1 = 300 K, and ending with P2 = 1.5, V2 = 1.5:

T2 = 300 × (1.5 × 1.5) ÷ (1 × 2) = 300 × 2.25 ÷ 2 = 337.5 K

Key Benefits

  • Solves the combined gas law directly for the final temperature T2
  • Accepts any consistent pressure and volume units because they enter as a ratio
  • Keeps temperature in kelvin, matching the physics of the gas law
  • Free, browser-based, and needs no sign-up

How to Use this Calculator

  1. Enter the initial state
    Fill in P1, V1, and T1 (K) with the starting pressure, volume, and temperature in kelvin.
  2. Enter the final state
    Fill in P2 and V2 with the final pressure and volume.
  3. Calculate
    Select Calculate to read the final temperature T2 in kelvin, rounded to three decimals.

Assumptions & Limitations

What the calculation assumes

  • Every value you enter is treated as an exact, known amount.
  • Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
  • Results use standard published formulas and account only for the values entered above.
  • Rounding is applied for display; the underlying calculation uses your full precision.
  • Results are returned in the same units you enter, unless the tool states the output unit.

What it does not cover

  • Gas Law Calculator produces a calculated result for reference and learning, not a certified or official measurement.
  • Real-world outcomes differ when tolerances, rounding rules or local standards apply.
  • Definitions and standards vary by region and change over time; verify the convention that applies to your case.
  • Figures are only as accurate as the inputs you supply — check them before acting on the result.
  • For work where the result carries real consequences, confirm it against an authoritative source.

Frequently Asked Questions

It solves the combined gas law for the final temperature T2, given the initial pressure, volume, and temperature and the final pressure and volume: T2 = T1 times (P2 V2) divided by (P1 V1).

Yes. T1 is entered in kelvin and must be greater than 0, and the result T2 is returned in kelvin. Convert Celsius to kelvin by adding 273.15 before entering it.

Pressure and volume appear as the ratio (P2 V2)/(P1 V1), so any units work as long as you use the same unit for both pressures and the same unit for both volumes.

The tool requires P1 times V1 to be greater than zero, since that product is the denominator. If either is zero or negative it shows an error instead of a result.

Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.