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Question: Answered & Verified by Expert
The reduced temperature =θ=TTC

The reduced pressure =π=PPC

The reduced volume =ϕ=VVC

Hence, it can be said that the reduced equation of state may be given as
ChemistryStates of MatterJEE Main
Options:
  • A π3+1ϕ23ϕ-1=83θ
  • B π3+1ϕϕ-1=83θ
  • C π4+1ϕ3θ-1=83ϕ
  • D π3+1ϕ3ϕ-1=83θ
Solution:
2550 Upvotes Verified Answer
The correct answer is: π3+1ϕ23ϕ-1=83θ
P=Pcπ=a27b2π

V=Vcϕ=3bϕ

T=Tcθ=8a27Rbθ

Hence substituting in the van der Waal's equation

P+aV2V-b=RT

π+3ϕ23ϕ-1=8θ

This is reduced state equation

π+3ϕ23ϕ8θ-18θ=1

π3+1ϕ23ϕ-1=83θ

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