Question

What is the value of R (Universal gas constant) in SI unit?

Answer 1

Gas constant :

1. The gas constant or molar gas constant is a fundamental physical constant arising in the formulation of the general gas law.
2. It is the molar equivalent to the Boltzmann constant, expressed in units of energy per temperature increment per mole
3. It is denoted by $R$.
4. The mathematical expression for it is $R=\frac{PV}{nT}$, where $R$= gas constant, $P$ = pressure, $V$ = volume, $T$ = temperature and $n$= moles.
5. The dimension of the gas constant is $\left[M^1{L}^2{T}^{-2}{K}^{-1}\right]$.
6. The SI unit of the gas constant is joule per kelvin per mole.
7. The value of the gas constant is $R=8.3144598J{K}^{-1}mo{l}^{-1}$.

Hence, the value of $R$ (Universal gas constant) is $8.3144598J{K}^{-1}mo{l}^{-1}$.