Question

The value of universal gas constant is

• A. $8.03\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
• B. $8.31\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
• C. $3.81\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$
• D. $1.38\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$

Answer 1

The correct option is B $8.31\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$

$\text{R}$ is the ideal, or universal, gas constant, equal to the product of the Boltzmann constant and the Avogadro constant:

$\text{R}=\mu {\text{n}}_{\text{A}}{\text{k}}_{\text{B}}=8.31\text{J}{\text{mol}}^{-1}{\text{K}}^{-1}$

where,

• $\mu$ is the number of moles of the gas present
• ${\text{N}}_{\text{A}}$ is the Avogadro's number $=6.023\times {10}^{23}$ atoms per mole
• ${\text{k}}_{\text{B}}$ is the Boltzmann's constant $=1.38\times {10}^{-23}{\text{J K}}^{-1}$