Question

The units of universal gas constant $\text{R}$ is

• A. ${\text{mol atm}}^{-1}{\text{K}}^{-1}$
• B. $\text{lit atm}{\text{mol}}^{-1}{\text{K}}^{-1}$
• C. $\text{mol}{\text{K}}^{-1}$
• D. $\text{K atm}{\text{lit}}^{-1}{\text{K}}^{-1}$

Answer 1

The correct option is B $\text{lit atm}{\text{mol}}^{-1}{\text{K}}^{-1}$

From the ideal gas equation:
$\text{PV}=n\text{RT}$
$⟹\text{R}=\frac{\text{PV}}{n\text{T}}=\frac{\text{atm lit}}{\text{mol K}}$
So, the units of $\text{R}$ are $\text{lit atm}{\text{mol}}^{-1}{\text{K}}^{-1}$.