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JEE Main 202127 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
27 August
Shift
Morning Shift
Subject
Chemistry
Chapter
States of Matter

JEE Main 2021 · 27 August · Morning Shift · Chemistry · States of Matter

The unit of the van der Waals gas equation parameter ' a ' in (P +...

The unit of the van der Waals gas equation parameter ' a ' in (P+an2V2)(V−nb)=nRT\left(P + \dfrac{{an}^{2}}{{V}^{2}}\right) ( V - nb ) = nRT is:

Options

  1. Adm3mol−1{dm}^{3}{mol}^{- 1}
  2. Bkgms−1kg{ms}^{- 1}
  3. Catmdm6mol−2atm{dm}^{6}{mol}^{- 2}
  4. Dkgms−2kg{ms}^{- 2}

Correct answer

C. atmdm6mol−2atm{dm}^{6}{mol}^{- 2}

Step-by-step solution

Pressure correction ΔP=an2V2\Delta P = \dfrac{{an}^{2}}{{V}^{2}}

a=ΔP×V2n2(atm(Lit)2)(mole)2=atm(dm3)2(mole)2a = \dfrac{\Delta P \times {V}^{2}}{{n}^{2}}\dfrac{\left(atm ( Lit{)}^{2}\right)}{( \text{mole}{)}^{2}} = \dfrac{atm {\left({dm}^{3}\right)}^{2}}{( \text{mole}{)}^{2}}

a=atm⋅dm6⋅mol−2a = atm \cdot {dm}^{6} \cdot {mol}^{- 2}

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