Derive the dimensional formula for $R$ (Universal gas constant) from the equation $PV = \mu RT$.

(N/A) The given equation is $PV = \mu RT$.
Rearranging for $R$,we get $R = \frac{PV}{\mu T}$.
Here,$P$ is pressure,$V$ is volume,$\mu$ is the number of moles,and $T$ is temperature.
Dimensional formulas are:
$[P] = [M^1 L^{-1} T^{-2}]$
$[V] = [L^3]$
$[\mu] = [M^0 L^0 T^0] = [1]$ (dimensionless)
$[T] = [K^1]$
Substituting these into the formula for $R$:
$[R] = \frac{[M^1 L^{-1} T^{-2}] [L^3]}{[1] [K^1]}$
$[R] = [M^1 L^2 T^{-2} K^{-1}]$