Ideal Gas Temperature Calculator

Finding Gas Temperature From PV = nRT

Given pressure, volume, and amount of substance, you can solve for the absolute temperature of an ideal gas. This is useful in calorimetry checks, sealed-container analysis, and verifying sensor readings in fixed-volume systems.

Temperature Formula

Rearranging the ideal gas law:

$$T = \frac{PV}{nR}$$

Pressure in pascals, volume in cubic meters, and moles $n$ with $R = 8.314\ \text{J mol}^{-1}\text{K}^{-1}$ give temperature in kelvin. Subtract 273.15 to convert to Celsius.

Worked Example

At 101,325 Pa, 22.414 L, and 1 mol, temperature is 273.15 K (0 °C). Doubling pressure at fixed volume and moles doubles the absolute temperature.

Frequently Asked Questions

Why is temperature in kelvin?

The ideal gas constant R uses kelvin in its definition. Celsius or Fahrenheit must be converted to an absolute scale before using PV = nRT.

Can I enter pressure in atm?

Yes. Select atm as the pressure unit and the calculator converts to pascals before applying the formula.

What if moles is zero?

Division by zero is undefined. The tool shows dashes when moles, pressure, or volume is zero or negative.

How accurate is this for real gases?

Real gases follow the ideal law closely at low pressure and moderate temperature. Near liquefaction or at very high pressure, use a real-gas equation of state.

What is the Celsius equivalent shown?

Celsius is computed as K minus 273.15. It is a convenience display; the calculation always uses kelvin internally.

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Ideal Gas Temperature Calculator

Finding Gas Temperature From PV = nRT

Temperature Formula

Worked Example

Frequently Asked Questions

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