Ideal Gas Law Calculator
Calculate gas temperature from pressure, volume, and amount of gas.
Check Ideal Gas Law Calculator
Formula result
Check before you use it
What the numbers show
The answer estimates the absolute temperature that makes the stated pressure, volume, and gas amount consistent under the ideal-gas model.
Use ideal gas law calculator for sealed-container gas checks, chemistry and physics homework, tire or syringe estimates, and thermodynamics state setup.
Absolute temperature in kelvin is required in the ideal gas law.
Copy-ready formula handoff
Use this after solving the live calculator result, then paste the answer into a lab note, homework check, or engineering review.
PV = nRT, T = P * V / (n * R)
- Pressure: Absolute gas pressure after converting from the page input units.
- Volume: Gas volume after converting liters, milliliters, or other page input units.
- Amount of gas: Number of moles in the gas sample.
- Temperature: Absolute gas temperature solved from the pressure-volume-amount relationship.
- The gas is treated as ideal, so particle volume and intermolecular forces are neglected.
- Pressure and volume are converted to SI before solving.
- Using Celsius in the ideal gas equation instead of absolute kelvin temperature.
- Entering gauge pressure when the formula needs absolute pressure.
Ideal Gas Law Calculator result: [paste the solved value from the calculator above]. Formula used: PV = nRT, T = P * V / (n * R) Inputs checked: Pressure, Volume, Amount of gas, Temperature. Assumptions: The gas is treated as ideal, so particle volume and intermolecular forces are neglected. Pressure and volume are converted to SI before solving. Worked example: Small sealed tire has P = 220 kPa absolute, V = 2.1 L, and n = 0.18 mol. Convert P = 220 kPa to 220000 Pa and V = 2.1 L to 0.0021 m^3. Apply T = PV / (nR) = 220000 * 0.0021 / (0.18 * 8.314462618). Result: T = 308.70 K, or about 35.55 C. Next check: Using Celsius in the ideal gas equation instead of absolute kelvin temperature.
Equation context
Built for sealed-container gas checks, chemistry and physics homework, tire or syringe estimates, and thermodynamics state setup. This page pairs the live calculator with the governing formula, variable glossary, and a worked example so the result is easier to trust and reuse.
Quick entry points
Use the calculator to verify arithmetic after you set up the formula yourself.
Change one input at a time to see which variable is driving the result.
Review the formula notes before using the answer in a lab or design check.
Variables to track
Absolute gas pressure after converting from the page input units. Unit: Pa.
Gas volume after converting liters, milliliters, or other page input units. Unit: m^3.
Number of moles in the gas sample. Unit: mol.
Absolute gas temperature solved from the pressure-volume-amount relationship. Unit: K.
Formula method and unit assumptions
Formula and example
Worked example
Small sealed tire has P = 220 kPa absolute, V = 2.1 L, and n = 0.18 mol
- 1Convert P = 220 kPa to 220000 Pa and V = 2.1 L to 0.0021 m^3.
- 2Apply T = PV / (nR) = 220000 * 0.0021 / (0.18 * 8.314462618).
- 3Result: T = 308.70 K, or about 35.55 C.
Ideal-gas calculations are usually straightforward once pressure is absolute and every unit matches the gas constant.
Assumptions
Common mistakes
Related formula checks
Equation context and next checks
Formula and variable setup for Ideal Gas Law Calculator
Calculate gas temperature from pressure, volume, and amount of gas. The page is designed to help you move from the known values to the correct formula without rebuilding the derivation every time.
For ideal gas law calculator, the safest workflow is to confirm the unit system first, then map each symbol to the physical quantity in your problem statement before solving.
- P: Pressure (Pa) - Absolute gas pressure after converting from the page input units.
- V: Volume (m^3) - Gas volume after converting liters, milliliters, or other page input units.
- n: Amount of gas (mol) - Number of moles in the gas sample.
- T: Temperature (K) - Absolute gas temperature solved from the pressure-volume-amount relationship.
How to read the result
The answer estimates the absolute temperature that makes the stated pressure, volume, and gas amount consistent under the ideal-gas model.
This tool is especially useful for sealed-container gas checks, chemistry and physics homework, tire or syringe estimates, and thermodynamics state setup. The output becomes more trustworthy when you compare nearby cases instead of relying on one single run.
- Temperature in K and C
- Uses kPa and liters
- Fast PV=nRT solving
Assumptions and limits
The calculator applies the standard textbook relation for this topic, which makes it a strong first-pass answer but not always a full real-world model.
Before you use the result in a lab, design review, or report, check whether the simplified assumptions still match the physical system you care about.
- The gas is treated as ideal, so particle volume and intermolecular forces are neglected.
- Pressure and volume are converted to SI before solving.
- The gas amount is fixed for the calculation; leaks, reactions, or changing moles are outside the model.
- High-pressure, very low-temperature, or strongly non-ideal gases may need a real-gas equation instead.
Quick glossary
Absolute gas pressure after converting from the page input units.
Gas volume after converting liters, milliliters, or other page input units.
Number of moles in the gas sample.
A simplified physics model that omits secondary effects so the first-order relationship is easier to inspect.
Formula checks before using the result
Formula questions
Checks before using the result
When should I use the ideal gas law calculator?
Use ideal gas law calculator for sealed-container gas checks, chemistry and physics homework, tire or syringe estimates, and thermodynamics state setup, especially when the governing formula is already known and the main need is a fast, transparent calculation.
What is the main thing the ideal gas law calculator tells me?
The answer estimates the absolute temperature that makes the stated pressure, volume, and gas amount consistent under the ideal-gas model.
What can make the ideal gas law calculator answer inaccurate?
The answer is exact for the formula and assumptions on the page, but it can drift when the real system violates those assumptions. Common limits include The gas is treated as ideal, so particle volume and intermolecular forces are neglected. Pressure and volume are converted to SI before solving. The gas amount is fixed for the calculation; leaks, reactions, or changing moles are outside the model. High-pressure, very low-temperature, or strongly non-ideal gases may need a real-gas equation instead.
Formula references and related examples
Formula Basis