1.

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

Answer»

Solution :`a/(V^(2))` is added to P. So `a/(V^(2))` must have the dimensions of pressure P. B is subrtracted form V. So b must have the dimensions of volume V.
Dimensions of `a/(V^(2))=` Dimensions of Pressure
DIMENSIONAL FORMULA of `a=[ML^(-1)T^(-2)][L^(3)]^(2)=[ML^(5)T^(-2)]`
Dimensional formula of `b=[L^(3)]`


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