Question

What would be the SI unit for the quantity pV²T²/n ?

Answer 1

P is pressure its unit is N/m^2
V is volume its unit is m^3 as it is V^2 so m^6
T is temperature Its unit is K for T^2 its unit is K^2

n is mole its unit is mol

Now put these in PV^2T^2/n

PV^2T^2/n = N/m^2 m^6K^2/mol= Nm^4K^2/mol is the unit

Answer 2

SI unit for pressure(p)= $Nm^{-2}$

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 $\frac{pV^{2}T^{2}}{n}$ is given by,

$\frac{(Nm^{-2})(m^{3}) ^{2}k^{2} }{mol}$

Hence the SI unit is, $Nm^{4}K^{2} mol^{-1}$.