Find out the unit and dimentions of the the vander waal`s equation pressure P,V is volume and R is gas constant:

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Solution

Vender Waals equation for real gas
$[p + \frac{a}{v^{2}}] (V - b) = R T$
Here p=pressure,= $P a$ (pascal)= $\frac{F o r c e}{A r e a} = \frac{k g m}{s^{2} m^{2}} = M L^{- 1} T^{2}$
v=volume= $m^{3} = L^{3}$
a and b are Vander Waals constants
Also $a = 3 p_{c} v_{c}^{2} = M L^{- 1} T^{2} L^{6}$ = $M L^{5} T^{2}$ and
$b = \frac{1}{3} v_{c}$ = $L^{3}$
$v$ =force of cohension among gas molecule=Newton $= M L T^{2}$
$R = g a s$ constant = $m o l / K$
and $T = t e m p e r a t u r e = K e l v i n$

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Find out the unit and dimentions of the the vander waal`s equation pressure P,V is volume and R is gas constant:

Vender Waals equation for real gas[p+av2](V−b)=RTHere p=pressure,=Pa(pascal)=ForceArea=kgms2m2=ML−1T2v=volume=m3=L3a and b are Vander Waals constantsAlso a=3pcv2c=ML−1T2L6=ML5T2 and b=13vc=L3 v=force of cohension among gas molecule=Newton=MLT2R=gas constant = mol/Kand T=temperature=Kelvin