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Just part b please At low pressures, the van der Waals equation of state for a binary mixture of components 1 and 2 Is given
Just part b please
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=RTPvi=1+RTP(biRTaii). Based on these equations of state, derive the following expressions for properties P and T : a) vmixing=RTx1x212 b) hmixing=RT2x1x212P Hints: a) Use the fact that v=PRTZ and the definition of vmixing b) Recall hmixing(T,P,x)=h(T,P,x)ixihi(T,P). Derive expressions for each of the terms and substitute into the preceding expression. Evaluate h(T,P,x) from h(T,P,x)= h(T,Po,x)+PoPdh using mixture equation of state and heat capacity. Evaluate hi(T,P)= hi(T,Po)+PoPdh using pure i equation of state and heat capacity. The resulting expression for hmixing(T,P,x) will contain the term hmoixing(T,P0,x). If we take P00, then hmixing(T1Pkx)=0 drops out of the expression for hmoixing(T,P)Step by Step Solution
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