Home
Class 12
PHYSICS
For n moles of gas ,Van der Waal's equa...

For n moles of gas ,Van der Waal's equation is `(p -(a)/(V^(2))) (V - b) = nRT`.
Find the dimensions of `a and b `, where `p = pressure` of gas` ,V = volume` of gas and` T = temperature of gas` .

Text Solution

Verified by Experts

The Van-der-waals equation`(p1(a)/(v^(2)))`(v-b)=RT
As presssure can be added only to pressure therefore `(a)/(v^(2))` represents pressure P i.e `(a)/(v^(2))`=p or a=`Pv^(2))`
[a]=`[ML^(-1)T^(-2)][L^(3)]^(2)=M^(1)L^(5)T^(2)`
Again from volume V we can subtract only a volume therefore b must be representing volume only i.e
`b=v=[L^(3)]=M^(0)l^(3)T^(0)`
Promotional Banner

Similar Questions

Explore conceptually related problems

For a moles of gas ,Van der Weals equation is (p = (a)/(V^(-2))) (V - b) = nRT ltbr. Find the dimensions of a a and b , where p = pressure of gas ,V = volume of gas and T = temperature of gas .

The van der Waal equation of gas is (P + (n^(2)a)/(V^(2))) (V - nb) = nRT

In van der Waal's equations (P+a/(V^(2)))(V-b)=RT , what are the dimensions of the constants a and b?

In the Van der Waals equation (P + (a)/(V^(2)))(V-b) = constant, the unit of a is

A gas described by van der Waals equation

A gas described by van der Waals equation

In the formula , p = (nRT)/(V-b) e ^(a/(RTV)) find the dimensions of a and b, where p = pressure , n= number of moles , T = temperture , V = volume and R = universal gas constant .

In the Van der Waals equation (P + (n^(2)a)/(V^(2))) (V-nb) = nRT , why is the term n^(2)a//V^(2) positive in sign.

The Van der waal's equation for n moles of a real gas is given by (P+(n^(2)a)/V^(2)) (V-nb)=nRT , where P pressure of gas, V= volume of gas, T= temperature of gas R= molar gas constant, a & b= Van der waal's constant Which of the following have the same dimensions as those of nRT.