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

Answer

$\text{PV = nRT}$

$\text{R}=\frac{\text{PV}}{\text{nT}}$

(n is a number of molecules)

$\text{R}=\frac{[\text{ML}^{-1}\text{T}^{-2}]\text{L}^3}{\text{K}}=[\text{ML}^2\text{T}^2\text{K}^{-1}]$

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