Ideal Gas Law Calculator

Solve for pressure (P), volume (V), moles (n), or temperature (T) using the ideal gas law equation.

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Calculation Parameters

Specify your stoichiometry inputs.

0.5 atm10 atm
1 L100 L
0.1 mol10 mol
-100 °C300 °C

Calculated Result

Solved Value

22.41 L
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Expert Tip

Ensure units are correctly formatted (e.g. Kelvin for gas temperatures and liters for volumes) to get chemically accurate outputs.

How this Calculator Works

This calculator allows you to solve Ideal Gas Law problems dynamically. Adjust the input parameters using the sliders or selection menu below:

  • Solve For (Dropdown selection, Default: Volume (V, L))
  • Pressure (P, atm) (Range: 0.5 to 10.0, Default: 1.0)
  • Volume (V, L) (Range: 1 to 100, Default: 22.4)
  • Moles (n) (Range: 0.1 to 10, Default: 1.0)
  • Temperature (t, °C) (Range: -100 to 300, Default: 0)

The results are computed instantly and updated in the results panel on the right.

Formula & Methodology

P * V = n * R * T
R = 0.082057 L·atm/(mol·K)
T (Kelvin) = Temp (°C) + 273.15

Where:

  • Solve For: Parameter value.
  • Pressure: Parameter value.
  • Volume: Parameter value.
  • Moles: Parameter value.
  • Temperature: Parameter value.

Step-by-Step Calculation Example

To calculate Ideal Gas Law manually, follow these steps:

  1. Identify the input parameters. For example:
    • Solve For = Volume (V, L)
    • Pressure (P, atm) = 1.0
    • Volume (V, L) = 22.4
    • Moles (n) = 1.0
    • Temperature (t, °C) = 0
  2. Apply the formula:
    P * V = n * R * T
    R = 0.082057 L·atm/(mol·K)
    T (Kelvin) = Temp (°C) + 273.15
  3. Verify the calculated value which is updated instantly in the results panel on the right.

Frequently Asked Questions

What is the ideal gas law equation?

PV = nRT, where P is pressure, V is volume, n is moles, R is universal gas constant, and T is absolute temperature.

What is the value of the gas constant R?

R = 0.08206 L·atm/(mol·K) or 8.314 J/(mol·K) = 8.314 Pa·m³/(mol·K).

Under what conditions do real gases deviate from ideal behavior?

Real gases deviate at high pressures and very low temperatures where molecular volume and intermolecular forces become significant.

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