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Physics - Unit & Dimension Question with Solution | TestHub

PhysicsUnit & DimensionMiscellaneousEasy2 minQB

PhysicsEasysingle choice

For $n$ moles of gas, Van der Waals' equation is $(p - \frac{a}{V ^{2}}) (V - b) = n RT$ . Find the dimensions of $a$ and $b$ , where $p =$ pressure of gas, $V =$ volume of gas and $T =$ temperature of gas.

Options:

Answer:

Solution:

$[b] = [V] = [L^{3}]$ and
$\frac{[ a ]}{[ V ^{2} ]} = [p]$
$= [M L^{- 1} T^{- 2}]$ , so
$[a] = [M L^{- 1} T^{- 2}] [L^{6}]$
$= [M L^{5} T^{- 2}]$ .

Stream:JEESubject:PhysicsTopic:Unit & DimensionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: QB

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