The following equation of state has been proposed for a fluid where B and C are constants.

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The following equation of state has been proposed for a fluid 

PV RT = 1 + B V V2

where B and C are constants. 

a. Does this fluid exhibit a critical point? Prove it. 

b. If you believe the answer to part (a) is yes, derive expressions for B and C in terms of the critical temperature and pressure for this fluid.

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