The Vanderwall's equation for n moles of a real gas is given by $(P + \frac{n ^{2} a}{V ^{2}}) (V - nb) = nRT$ , where
P = pressure of gas
V = volume of gas
T = temperature of gas
R = molar gas constant
a & b = Vander wall's constants
Which of the following have the same dimensions as those of nRT.

Question

The Vanderwall's equation for n moles of a real gas is given by $(P + \frac{n ^{2} a}{V ^{2}}) (V - nb) = nRT$ , where

P = pressure of gas
V = volume of gas
T = temperature of gas
R = molar gas constant
a & b = Vander wall's constants
Which of the following have the same dimensions as those of nRT.

TestHub · Accepted Answer

Every term on the left of the equation has the dimensions of energy.

$[n RT] = [P V]$

$[a] = \frac{[ P ] [ V ] ^{2}}{[ n ] ^{2}}, [b] = \frac{[ V ]}{[ n ]}$

$[(A) P V] = [P V]$

$[(B) aV / b^{2}] = [P V]$

$[(C) P V^{2} / (nb)] = [P V]$

$[(D) na / b] = [P V]$

Answer: A, B, C, D.

Physics - Unit & Dimension Question with Solution | TestHub

Options:(select one or more)

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