For a moles of gas ,Van der Weals equation is (p = (a)/(V^(-2))) (V - b) = nRTltbr. Find the dimensions of a a and b , where p = pressure of gas ,V = volume of gas and T = temperature of gas .
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The answer for your question is M^-1L^5T^-2, where
M is the mass
L is the length
T is the time.
We know,
Vanderwaals eq is a modified form of the ideal gas law i.e,
PV=nRT.
Therefore, P+a/V^2 will be having dimensions same as pressure and V-b will be having dimensions same as volume.
So, the dimensions of
a= M^-1 L^5 T^-2
and b= L^3
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