Question

dimensional formula of Boltzmann constant tell me fast​

Answer 1

Answer:

The Boltzmann constant (kB or k), which is named after Ludwig Boltzmann, is a physical constant relating the average kinetic energy of particles in a gas with the temperature of the gas.It is the gas constant R divided by the Avogadro constant Na:

k= R/Na [Na is Avogadro number]

The Boltzmann constant has the dimension energy divided by temperature, the same as entropy.

as we know that pV=nRT.

where R is the gas constant (8.3144598(48) J/K/mol

Introducing the Boltzmann constant transforms the ideal gas law into an alternative form:

pV=NkT

where N is the number of molecules of gas. For n = 1 mol, N is equal to the number of particles in one mole (Avogadro's number).

The dimensional formula for Boltzmann’s constant is

ML²T⁻²θ⁻¹

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Answer 2

Answer:

Or, k = [M1 L2 T-2] × [M0 L0 T0 K1]-1 = [M1 L2 T-2 K-1]. Therefore, the Boltzmann constant is dimensionally represented as [M1 L2 T-2 K-1].

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