# What is Avogadro’s Law – Definition

Avogadro’s Law is one of the gas laws. Avogadro studied the relationship between the volume and the amount of substance of gas present.

Avogadro’s Law is one of the gas laws. At the beginning of the 19th century, an Italian scientist Lorenzo Romano Amedeo Carlo Avogadro studied the relationship between the volume and the amount of substance of gas present. The results of certain experiments with gases led him to formulate a well-known Avogadro’s Law. It states that, under the same conditions of temperature and pressure, equal volumes of different gases contain an equal number of molecules, or:

For a fixed mass of an ideal gas at constant pressure and temperature, the volume and amount of the gas are directly proportional.

You can express this mathematically as:

V n

or

V = constant . n

where nR/V is constant and:

• n is the amount of substance measured in moles
• V is the volume of the gas

the constant is equal is to RT/p, where p is the absolute pressure of the gas, T is the absolute temperature and R  is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant.

In tribute to Avogadro, also the number of particles (atoms, molecules, ions or other particles) in 1 mole of a substance, 6.022×1023, was named after Avogadro as the Avogadro constant or Avogadro number. The Avogadro constant is one of the seven SI base units and represented by NA.

The Avogadro’s Law can be used for comparing the same substance under two different sets of conditions:

V1 / n1 = V2 / n2

## Molar Volume of Gases

One of the most practical results of this law is the molar volume of a gases, Vm, which is about:

Vm = 22.4 dm3 / mol

It means, at standard temperature (273.15 K, 0°C) and standard atmospheric pressure (101.325 kPa) the molar volume is the same for all ideal gases. Note that, it is under the ideal gas assumption. This value is strongly dependent on the pressure and the temperature. For example:

• for 273.15 K (0°C) and 100.00 kPa, the molar volume of an ideal gas is 22.71 dm3.mol−1.
• for 298.15 K (25°C) and 100.00 kPa, the molar volume of an ideal gas is 24.79 dm3.mol−1.

References:
Reactor Physics and Thermal Hydraulics:
1. J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading, MA (1983).
2. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.
3. W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1.
4. Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering, Springer; 4th edition, 1994, ISBN: 978-0412985317
5. Todreas Neil E., Kazimi Mujid S. Nuclear Systems Volume I: Thermal Hydraulic Fundamentals, Second Edition. CRC Press; 2 edition, 2012, ISBN: 978-0415802871
6. Zohuri B., McDaniel P. Thermodynamics in Nuclear Power Plant Systems. Springer; 2015, ISBN: 978-3-319-13419-2
7. Moran Michal J., Shapiro Howard N. Fundamentals of Engineering Thermodynamics, Fifth Edition, John Wiley & Sons, 2006, ISBN: 978-0-470-03037-0
8. Kleinstreuer C. Modern Fluid Dynamics. Springer, 2010, ISBN 978-1-4020-8670-0.
9. U.S. Department of Energy, THERMODYNAMICS, HEAT TRANSFER, AND FLUID FLOW. DOE Fundamentals Handbook, Volume 1, 2 and 3. June 1992.

Gas Laws

We hope, this article, Avogadro’s Law, helps you. If so, give us a like in the sidebar. Main purpose of this website is to help the public to learn some interesting and important information about thermal engineering.