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Q.

The relationship between PC,VC and TC is

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a

PCVC=RT

b

PCVC=3RTC

c

PCVC=35RTC

d

PCVC=38RTC

answer is D.

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Detailed 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 state

Vc​= Volume of gas in its critical state.

 relation with the van der waals constants -

Tc​=8a / 27Rb

 So a = 27 Tc ​Rb / 8

Vc​ = 3b So b = Vc​/3

Pc​ = a / 27 b2 ....(1)

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

Pc​=27Tc​.R / 8×27×b​

=27 Tc​.R / 8×27×Vc​/3​

PCVC=38RTC

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The relationship between PC,VC and TC is