Question

The Vander Wall's equation for a gas is (p+a/v square)(v-b)=RT. Determine the dimensions of a & b.​

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].

Answer 2

Answer:

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