Question
Mon May 30, 2011 By:
 

The equation of state of some gases can be expressed as [P+(a/V^2)](V-b)=RT. Here, P is the pressure, V the volume, T the absolute temperature, and a, b, R are constants. What are the dimensions of 'a', 'b', & 'R'?

Expert Reply
Wed June 15, 2011
For dimension of a:
Dimension of a/V2 = Dimension of P
a / [L6]= [ML-1T-2]
a = [ML-5T-2]
For dimension of b:
Dimension of b = Dimension of V
b = [L3]
For dimention of R:
Dimension of P(V-b) = Dimension of RT
[ML-1T-2][L3]=R[0K]
R = [ML2T-2k-1]
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