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The relationship between Pc,Vc and Tc is:

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Solution

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Pc= Pressure of gas in its critical state

Vc= Volume of gas in its critical state.

relation with the van der waals constants -

Tc=8a/27Rb So a=27TcRb/8

Vc=3b So b=Vc/3

Pc=a/27b2 ....(1)

put the value of a and b in equation (1)

Pc=27Tc×R×b8×27×b2

Pc=27Tc.R8×27×b=27Tc.R8×27×Vc/3

PcVc=38RTc

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