The Gas Volume Calculator is a scientific tool designed to calculate the volume of gas using standard gas laws such as the Ideal Gas Law, Boyle’s Law, and Charles’s Law. It provides accurate gas volume based on inputs like temperature, pressure, and either the number of moles or mass of gas. This tool is useful in physics, chemistry, engineering, and laboratory applications.
This calculator belongs to the Physics and Chemistry calculator category. It eliminates the need for manual computations and supports both SI units and common conversions. The Gas Volume Calculator helps users save time and ensures precise outcomes in both educational and professional environments.
formula
Ideal Gas Law
V = (n × R × T) / P
Where:
V = Volume of gas (in m³ or L)
n = Number of moles of gas (mol)
R = Universal gas constant
Use 8.314 J/mol·K when pressure is in Pascals and volume in m³
Use 0.0821 L·atm/mol·K when pressure is in atm and volume in liters
T = Temperature (in Kelvin)
P = Pressure (in Pascals or atm, must match R’s unit)
Temperature Conversion to Kelvin
T(K) = T(°C) + 273.15
Use this formula to convert Celsius to Kelvin before calculating gas volume.
Moles from Mass (Optional if mass is known)
n = m / M
Where:
n = Moles of gas
m = Mass of gas (in grams)
M = Molar mass of the gas (g/mol)
Combined Formula Using Mass
V = (m × R × T) / (M × P)
Use this formula when you are given the mass of the gas instead of the number of moles.
Boyle’s Law (Constant Temperature)
P₁ × V₁ = P₂ × V₂
Rearranged to find the new volume:
V₂ = (P₁ × V₁) / P₂
Use this when temperature is constant and pressure changes.
Charles’s Law (Constant Pressure)
V₁ / T₁ = V₂ / T₂
Rearranged to find final volume:
V₂ = (V₁ × T₂) / T₁
Use this when pressure is constant and temperature changes.
Common Gas Volume Values and Conversion Table
| Description | Value or Conversion |
|---|---|
| Standard Temperature (STP) | 0 °C or 273.15 K |
| Standard Pressure (STP) | 1 atm or 101325 Pa |
| Universal Gas Constant (R) | 8.314 J/mol·K or 0.0821 L·atm/mol·K |
| 1 mole of ideal gas at STP | 22.4 liters |
| Celsius to Kelvin | T(K) = T(°C) + 273.15 |
| atm to Pascal conversion | 1 atm = 101325 Pa |
| m³ to liters | 1 m³ = 1000 L |
| Common molar mass of O₂ | 32 g/mol |
| Common molar mass of CO₂ | 44 g/mol |
| Common molar mass of N₂ | 28 g/mol |
This table allows users to quickly access essential constants and conversions, simplifying the input process in calculations.
Example
You have 10 grams of nitrogen (N₂) at a temperature of 20 °C and a pressure of 1 atm. What is the gas volume?
Step 1: Convert temperature to Kelvin
T = 20 + 273.15 = 293.15 K
Step 2: Molar mass of N₂ = 28 g/mol
n = 10 / 28 = 0.357 mol
Step 3: Apply Ideal Gas Law
V = (n × R × T) / P
V = (0.357 × 0.0821 × 293.15) / 1
V ≈ 8.58 liters
Therefore, the gas volume is approximately 8.58 liters.
Most Common FAQs
It calculates how much space a gas occupies under given conditions of pressure and temperature. It is based on formulas from physics and chemistry, providing reliable and fast results.
Yes, when using gas law formulas, temperature must always be in Kelvin. Kelvin ensures accuracy in scientific equations and aligns with standard gas law requirements.
This calculator is based on the Ideal Gas Law, which works well for many gases under normal conditions. For extreme conditions like high pressure or low temperature, adjustments for real gas behavior may be necessary.