Question

In Vander Wall's equation (p + a/v^2) (v-b) = RT, what are the dimensions of 'a' and 'b'??
Here, P = pressure, V = Volume, T = Temperature and R = Gas constant.


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Answer 1

Answer:

Explanation:

(P + a/V^2) (V - b) = RT

P is pressure, V is volume and T is temperature.

[P] = [F/A] = [MLT^−2/L^2] = [ML^−1T^−2]

[V] = [L^3]

We cannot add or subtract quantities of different dimensions. Therefore

[P] = [a/V^2] ⇒ [a] = [PV^2] = [ML^−1T^−2 L6] = [M L^5 T^−2]

∴ [a] = [M L^5 T^−2]

Similarly,

[b] = [V] = [L^3]

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