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Asked by 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

Answers(2)

Answer

Janhavi Govinda rao

Member since Feb 20, 2013

(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]


Syeda

Member since Jan 25, 2017

Answer.


    (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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