Van der waals equation dimensional formula
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(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]
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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