STP Calculator
Our physical chemistry calculator computes stpcalculator accurately. Enter measurements for results with formulas and error analysis.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
V = n * 22.414 L/mol (at STP)
At STP (0 C, 1 atm), one mole of ideal gas occupies 22.414 liters. Volume equals moles times molar volume. To convert mass to volume, first divide mass by molar mass to get moles, then multiply by 22.414.
Worked Examples
Example 1: Volume of Oxygen at STP
Problem:What volume does 3.5 moles of O2 occupy at STP?
Solution:V = n * 22.414 L/mol\nV = 3.5 * 22.414\nV = 78.449 L
Result:V = 78.449 L at STP
Example 2: Mass to Volume Conversion
Problem:What volume does 100 g of nitrogen gas (N2, M=28.014) occupy at STP?
Solution:n = mass / M = 100 / 28.014 = 3.5697 mol\nV = n * 22.414 = 3.5697 * 22.414\nV = 80.013 L
Result:V = 80.013 L at STP
Frequently Asked Questions
What is STP in chemistry?
STP stands for Standard Temperature and Pressure, defined as 0 degrees Celsius (273.15 K) and 1 atmosphere (101.325 kPa) of pressure. At STP, one mole of an ideal gas occupies exactly 22.414 liters, known as the molar volume. This standard provides a common reference point for comparing gas properties and performing stoichiometric calculations. Note that IUPAC updated the standard in 1982 to 0 C and exactly 1 bar (100 kPa), giving a molar volume of 22.711 L, but the 1 atm definition remains widely used in education.
What is the molar volume of a gas at STP?
The molar volume at STP is 22.414 liters per mole for an ideal gas at 0 C and 1 atm. This value comes directly from the ideal gas law: V = nRT/P = (1 mol)(0.08206 L atm/mol K)(273.15 K)/(1 atm) = 22.414 L. Real gases deviate slightly from this value due to intermolecular forces and molecular volume. For example, CO2 has a molar volume of about 22.26 L at STP due to stronger intermolecular attractions, while helium is very close to ideal at 22.434 L.
How do I convert between mass and volume of a gas at STP?
To convert mass to volume at STP, first find moles by dividing mass by molar mass (n = m/M), then multiply by the molar volume (V = n * 22.414 L). For example, 44 g of CO2 (M = 44 g/mol) equals 1 mole, which occupies 22.414 L at STP. To go from volume to mass, divide the volume by 22.414 to get moles, then multiply by the molar mass. The density of any gas at STP equals its molar mass divided by 22.414 L/mol.
What is the difference between STP and NTP?
STP (Standard Temperature and Pressure) is 0 C and 1 atm, with a molar volume of 22.414 L/mol. NTP (Normal Temperature and Pressure) is 20 C (293.15 K) and 1 atm, with a molar volume of about 24.04 L/mol. Some references also define SATP (Standard Ambient Temperature and Pressure) as 25 C and 1 bar. The choice of standard conditions affects calculated volumes, so it is important to specify which standard is being used in any gas calculation.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy