What would be the SI unit for the quantity pV2T 2/n?

Question:

What would be the SI unit for the quantity $\rho V^{2} T^{2} / n ?$

 

Solution:

The SI unit for pressure, p is Nm–2.

The SI unit for volume, V is m3.

The SI unit for temperature, T is K.

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

Therefore, the SI unit for quantity $\frac{p V^{2} T^{2}}{n}$ is given by,

$=\frac{\left(\mathrm{Nm}^{-2}\right)\left(m^{3}\right)^{2}(\mathrm{~K})^{2}}{\mathrm{~mol}}$

$=\mathrm{Nm}^{4} \mathrm{~K}^{2} \mathrm{~mol}^{-1}$

 

 

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