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4. At low pressures, the van der Waals equation of state for a binary mixture of components 1 and 2 Is given by Z=RTPv=1+RTp(bmixRTamix), where

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4. At low pressures, the van der Waals equation of state for a binary mixture of components 1 and 2 Is given by Z=RTPv=1+RTp(bmixRTamix), where bmix=x1b1+x2b2,amix=ixiaii+x1x212, and 12=2a12(a11+a22). The low-pressure form of the can der Waals equation of state for pure component i is zi=RTPVV=1+RTp(biRTau). Based on these equations of state, derive the following expressions for properties P and T : gE=RTxtx21:pln1=(b1RTa12)RTpln1=(b1RTa11x22RT12)RTpln1=(RT)2x2212p

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