Dimensional formula of Gas Constant

The dimensional formula of the gas constant can be derived from the ideal gas law, (PV = nRT), where (P) is pressure, (V) is volume, (n) is the amount of substance, (R) is the gas constant, and (T) is the temperature.

From the ideal gas law, the dimensional formula of the gas constant can be expressed as:

R = PV/nT

The dimensional expression for R can be obtained by writing pressure as force per unit area, which allows us to:

R = (F/A) x Vol/ amount x temp

Volume and area can be expressed as length: area = (length)² and volume = (length)³.

Thus we get-

R = (F/l²) x (l)³/ amount x temp = force x l/ amount x temp

Since force times length is work, we get:

R = Work/ amount x temp

Thus, a gas constant can be interpreted as work per degree per mole.

Universal Gas Constant

Gas Constant or Universal Gas Constant is a physical constant, represented by the letter R, and is expressed in terms of energy units per mole of temperature increment. The value of the gas constant is the same as that of the Boltzmann constant, but it is expressed as the pressure-volume product rather than the energy per particle increment of temperature. In this article, we will look into what is Universal gas constant, it’s value and uses, etc.

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