Ideal Gas Volume Calculator
Free calculate volume from pressure, temperature, and number of moles using v = nrt/p. Get instant, accurate results with our easy-to-use calculator.
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What is Ideal Gas Volume?
Ideal gas volume is calculated from the ideal gas law by rearranging PV = nRT to solve for volume: V = nRT/P.
Volume represents the space occupied by a gas. According to the ideal gas law, volume increases with more gas molecules (higher n), higher temperature (faster-moving molecules), and lower pressure (less compression).
This relationship explains why balloons expand when heated, why gases compress under pressure, and why the same amount of gas occupies different volumes at different conditions.
Ideal Gas Volume Formula
Where:
- • V = Volume (m³)
- • n = Number of moles (mol)
- • R = 8.314 J/(mol·K)
- • T = Temperature (K)
- • P = Pressure (Pa)
How to Calculate Ideal Gas Volume
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1
Convert pressure to Pascals
Convert all pressure units to Pa for consistent calculations.
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2
Convert temperature to Kelvin
Add 273.15 to Celsius, or use the conversion formula for Fahrenheit.
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3
Apply the formula
Calculate V = nRT / P using R = 8.314 J/(mol·K).
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4
Convert to desired units
Convert cubic meters to liters (1 m³ = 1000 L) or milliliters if needed.
Practical Examples
Example 1: Molar Volume at STP
Calculate the volume of 1 mole of gas at standard temperature and pressure (0°C, 1 atm).
Solution:
P = 101,325 Pa, n = 1 mol, T = 273.15 K
V = (1 × 8.314 × 273.15) / 101,325
V = 0.022414 m³ = 22.414 L (standard molar volume!)
Example 2: High Pressure Gas
What volume does 0.5 moles of gas occupy at 500 kPa and 25°C?
Solution:
P = 500,000 Pa, n = 0.5 mol, T = 298.15 K
V = (0.5 × 8.314 × 298.15) / 500,000
V = 0.00248 m³ = 2.48 L
Applications
Chemistry
Determining gas volumes in reactions, stoichiometry calculations, and gas collection methods.
Gas Storage
Designing gas cylinders, tanks, and storage systems with appropriate volumes for given pressures.
Automotive
Fuel tank design, air intake systems, and understanding gas expansion in engines.
HVAC
Duct sizing, air volume calculations, and ventilation system design.
Frequently Asked Questions
What is the standard molar volume?
At STP (0°C, 1 atm), 1 mole of any ideal gas occupies 22.414 L. This is a fundamental constant in gas calculations.
How does pressure affect volume?
At constant temperature and moles, volume is inversely proportional to pressure (Boyle's law). Doubling pressure halves volume.
How does temperature affect volume?
At constant pressure and moles, volume is directly proportional to temperature (Charles's law). Doubling temperature doubles volume.
Why do balloons expand when heated?
As temperature increases, gas molecules move faster and spread out, increasing volume. The balloon expands to accommodate the larger volume.