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Neemit bagh

Jul 12, 2014

# Find the dimensions of constant a and b occurig in van der Waal's equation . [p+a/vsq.][v-b]=RT

Find the dimensions of constant a and b occurig in van der Waal's equation . [p+a/v2][v-b]=RT

Janhavi Govinda rao

(P + a/V2) (V - b) = RT P is pressure, V is volume and T is temperature. [P] = [F/A]  = [MLT âˆ’2/L2] = [MLâˆ’1T âˆ’2] [V] = [L3] We cannot add or subtract quantities of different dimensions. Therefore [P] = [a/V2] â‡’ [a] = [PV2] = [MLâˆ’1T âˆ’2 L6] = [M L5 T âˆ’2] âˆ´ [a] = [M L5 T âˆ’2] Similarly, [b] = [V] =  [L3]

Syeda

Answer.     (P + a/V2) (V - b) = RT P is pressure, V is volume and T is temperature. [P] = [F/A]  = [MLT âˆ’2/L2] = [MLâˆ’1T âˆ’2] [V] = [L3] We cannot add or subtract quantities of different dimensions. Therefore [P] = [a/V2] â‡’ [a] = [PV2] = [MLâˆ’1T âˆ’2 L6] = [M L5 T âˆ’2] âˆ´ [a] = [M L5 T âˆ’2] Similarly, [b] = [V] =  [L3]
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