Question

Deduce the dimensional formula for R, using ideal gas equation PV = nRT.

Answer 1

Dimensions of \(R=\frac{[P][V]}{[n][T]}\)

=\(\frac{[ML^{-1}T^{-2]}[L^3]}{[mol][K]}\)

= \(\frac{[ML^{-1}T^{-2]}[L^3]}{[mol][K]}\)

= [ML²T^-2K^-1 mol^-1]