In Vander Waals equation [ P +( a / V 2)][ V - b ]= RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ( a / b ) is dimensionally equal to:

Question

In Vander Waals equation [ P +( a / V 2)][ V - b ]= RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ( a / b ) is dimensionally equal to: (A) (P/V) (B) ( V / P ) (C) PV (D) PV 3

Tardigrade Admin · Accepted Answer

By principle of homogenity [ P ]=[( a / v 2)] text and [ b ]=[ v ] ⇒[( a / b )]=[ PV ]( C )

Q. In Vander Waals equation $[P + \frac{a}{V ^{2}}] [V - b] = RT$ ; $P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$ is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to:

$\frac{P}{V}$

$\frac{V}{P}$

PV

$P V^{3}$

By principle of homogenity
$[P] = [\frac{a}{v ^{2}}] and [b] = [v]$
$\Rightarrow [\frac{a}{b}] = [P V] (C)$

Q. In Vander Waals equation [P+V2a​][V−b]=RT; P is pressure, V is volume, R is universal gas constant and T is temperature. The ratio of constants ba​ is dimensionally equal to:

VP​

PV​

PV

PV3

By principle of homogenity [P]=[v2a​] and [b]=[v] ⇒[ba​]=[PV](C)

Q. In Vander Waals equation $[P + \frac{a}{V ^{2}}] [V - b] = RT$ ; $P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$ is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to:

$\frac{P}{V}$

$\frac{V}{P}$

$P V^{3}$

By principle of homogenity
$[P] = [\frac{a}{v ^{2}}] and [b] = [v]$
$\Rightarrow [\frac{a}{b}] = [P V] (C)$