Question

In van der waals gas equation find the dimensions of a and v

Answer 1

  (P + a/V2) (V - b) = RT
P is pressure, V is volume and T is temperature.
[P] = [F/A]  = [MLT −2/L2] = [ML−1T −2]
[V] = [L3]

We cannot add or subtract quantities of different dimensions. Therefore
[P] = [a/V2] ⇒ [a] = [PV2] = [ML−1T −2 L6] = [M L5 T−2]
∴ [a] = [M L5 T −2]

Similarly,
[b] = [V] =  [L3]

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