Q.What would be the SI unit for the quantity *pV*^{2}*T *^{2}/*n?*

Answer

The SI unit of the given quantity is obtained by substituting the SI units of all the quantities in its expression.

Also

The SI unit for pressure, *p* is Nm^{–2}.

The SI unit for volume, *V* is m^{3.}

The SI unit for temperature, *T* is K.

The SI unit for the number of moles, *n *is mol.

Therefore, the SI unit for quantity pV^{2}T^{2} / n is given by substituting the above values in the given expression

pV^{2}T^{2} / n = (Nm^{-2}) x (m^{3})^{2} x K^{2 }/ mol

= Nm^{4}K^{2} mol^{-1}