Question

In the ideal gas equation $PV=nRT$, dimensional formula of $R$ is

• A. $\left[M{L}^2{T}^{-2}{K}^{-1}mo{l}^{-1}\right]$
• B. $\left[M{L}^{2}Kmol\right]$
• C. $\left[L^2{T}^{-1}{K}^{-1}mol\right]$
• D. $\left[M^2{L}^2{T}^{-2}{K}^{-2}mo{l}^{-1}\right]$

Answer 1

The correct option is A $\left[M{L}^2{T}^{-2}{K}^{-1}mo{l}^{-1}\right]$

$PV=nRT\Rightarrow \frac{F}{A}.V=nRT$
$\frac{\left[ML{T}^{-2}\right]}{L^2}{L}^3=\left[mol\right]R\left[K^1\right]\Rightarrow R=\left[M{L}^2{T}^{-2}{K}^{-1}mo{l}^{-1}\right]$