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  • <img alt="\left(P + \frac{a}{V^2} \right )\left(V-b \right ) = RT" src="/latex-image/?%5Cleft%28P%20&plus;%20%5Cfrac%7Ba%7D%7BV%5E2%7D%20%5Cright%20%29%5Cleft%28V-b%20%5Cright%20%29%20%3D%20RT"

\left(P + \frac{a}{V^2} \right )\left(V-b \right ) = RT

Here P is pressure, V is volume, R is gas constant and T is Temperature.

Dimensional formula of Van der Waal's constant (a) is

Option: 1

[M^{1}L^{5}T^{-1}]


Option: 2

[M^{1}L^{4}T^{-2}]


Option: 3

[M^{1}L^{6}T^{-2}]


Option: 4

[M^{1}L^{5}T^{-2}]


Answers (1)

best_answer

As we have learnt,

 

Vander waal 's constant (a) -

ML^{5}T^{-2}

- wherein

Newton -m ^{4}

 

According to the principle of homogeneity

[P] = \frac{[a]}{[V^2]}

So,

[a] = [P][V^2]

      \\= [ML^{-1}T^{-2}] [L^6] \\= [ML^5T^{-2}]

 

 

Posted by

Sayak

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