Equation for a real gas is (P+(a/V2))(V-b)=R T Where P= pressure, V= volume, a, b and R constants, dimensional formula of a is:

Question

Equation for a real gas is (P+(a/V2))(V-b)=R T Where P= pressure, V= volume, a, b and R constants, dimensional formula of a is: (A) L6 (B) M1 L-1 T-2 (C) M1 L5 T-2 (D) L3

Tardigrade Admin · Accepted Answer

( P+(a/V2) )(V-b)=RT Dimensional formula of a= Dimensions of P× dimensions of V2 =[M L-1 T-2][L6]=[M L5 T-2]

Q. Equation for a real gas is $(P + \frac{a}{V ^{2}}) (V - b) = RT$ Where $P =$ pressure, $V =$ volume, $a, b$ and $R$ constants, dimensional formula of a is:

$L^{6}$

$M^{1} L^{- 1} T^{- 2}$

$M^{1} L^{5} T^{- 2}$

$L^{3}$

$(P + \frac{a}{V ^{2}}) (V - b) = RT$
Dimensional formula of
$a =$ Dimensions of $P \times$ dimensions of $V^{2}$
$= [M L^{- 1} T^{- 2}] [L^{6}] = [M L^{5} T^{- 2}]$

Q. Equation for a real gas is (P+V2a​)(V−b)=RT Where P= pressure, V= volume, a,b and R constants, dimensional formula of a is:

L6

M1L−1T−2

M1L5T−2

L3