Question

# The relationship between Pc,Vc and Tc is:

A
PcVc=RTc
B
PcVc=3RTc
C
PcVc=35RTc
D
PcVc=38RTc
Solution
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#### Tc= Temperature at and above which the vapour state can not be further liquified. Pc= Pressure of gas in its critical stateVc= Volume of gas in its critical state. relation with the van der waals constants -Tc=8a/27Rb So a=27TcRb/8Vc=3b So b=Vc/3 Pc=a/27b2 ....(1)put the value of a and b in equation (1)Pc=27Tc×R×b8×27×b2Pc=27Tc.R8×27×b=27Tc.R8×27×Vc/3PcVc=38RTc

7
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