Q For n moles of gas, wanderwaal's equation is p-av2v-b= n R T find the dimensions of - Physics - Motion In A Plane

Question

Q For n moles of gas, wanderwaal's equation is

p - a v 2 v - b =   n   R   T
find the dimensions of a & b, where P is gas pressure, V is
volume of gas, T = temperature of gas

Pintu B. · Accepted Answer

Dear Student ,
Van der waal's equation,

$(P + \frac{a}{V^{2}}) (V - b) = R T P V + \frac{a}{V} - P b - \frac{a b}{V^{2}} = R T$

$= > [\frac{a}{V}] = [R T] = > [a] = [R T V] = [M L^{2} T^{- 2} K^{- 1}] [K] [L^{3}] = [M L^{5} T^{- 2}]$

Similarly,

$[P b] = [R T] = > [b] = [\frac{R T}{P}] = \frac{[M L^{2} T^{- 2} K^{- 1}] [K]}{[M L^{- 1} T^{- 2}]} = [L^{3}]$
Regards

Q. For n moles of gas, wanderwaal's equation is p - a v 2 v - b = n R T find the dimensions of a & b, where P is gas pressure, V is volume of gas, T = temperature of gas.