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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousMedium2 minQB

PhysicsMediumsingle choice

In the formula, $p = \frac{n RT}{V - b} e^{\frac{a}{RT V}}$ , find the dimensions of $a$ and $b$ , where $p =$ pressure, $n =$ number of moles, $T =$ temperature, $V =$ volume and $R =$ universal gas constant.

Options:

Answer:

Solution:

$\frac{a}{RT V}$
is dimensionless, so
$[a] = [RT V] = [M L^{2} T^{- 2}] [L^{3}] = [M L^{5} T^{- 2}]; [b] = [V]$
$= [L^{3}]$ .

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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