What is the ratio called, when Universal gas constant (R) is divided by Avogadro’s number (N)?

By BYJU'S Exam Prep

Updated on: September 25th, 2023

  1. Plank’s constant
  2. Boltzmann’s constant
  3. Rydberg’s constant
  4. Van der Waal’s constant

When the Universal gas constant (R) is divided by Avogadro’s number (N) is called Boltzmann’s constant. The ratio of the Avogadro number to the Universal Gas Constant is known as the Boltzmann constant. It establishes a relationship between the temperature of a gas and the average kinetic energy of its particles.

Applications of Boltzmann Constant

Numerous branches of physics make use of the Boltzmann constant. They include some of the following:

  • The Boltzmann Constant is used to indicate the equipartition of an atom’s energy in traditional statistical mechanics.
  • This is how the Boltzmann factor is expressed.
  • It has a significant impact on how entropy is defined statistically.
  • It is a term used to express thermal voltage in semiconductor physics.

Universal Gas Constant (R)

When one mole of particles at a specific temperature is taken into account, the gas constant is the proportionality constant used to relate the energy scale to the temperature scale in physics. The intersection of Boyle’s law, Avogadro’s number, Charles’ law, and Gay-law Lussac’s yields the ideal gas constant. The gas constant R can be expressed as follows:–

Gas constant R = 8.3144598(48) J⋅mol−1⋅K−1

Avogadro’s number (N)

Avogadro’s number or Avogadro’s constant refers to the number of units contained in one mole of any substance. It is equal to 6.022140857×1023. Depending on the nature of the reaction and the substance, the units may be electrons, ions, atoms, or molecules.


What is the ratio called, when Universal gas constant (R) is divided by Avogadro’s number (N)? (a)Plank’s constant (b)Boltzmann’s constant (c)Rydberg’s constant (d)Van der Waal’s constant

Boltzmann’s constant is what results when the universal gas constant (R) is divided by Avogadro’s number (N). Max Planck is credited with introducing the Boltzmann constant, which bears Ludwig Boltzmann’s name. It is a physical constant that is calculated by dividing the gas constant by the Avogadro number.

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