Problem 2: At low pressures, the van der Waals equation of state for a binary mixture of components 1 and 2 is given by Where: v=PRT+(bmixRTamix)bmix=x1b1+x2b2amix=x1a11+x2a22+x1x212122a12(a11+a22)(oftencalledthe"exchangeenergy") The low-pressure form of the van der Waals equation of state for pure component i is vi=PRT+(biRTaii). From this equation of state, one can show that gE=x1x212RTP Given this expression for the excess Gibbs energy, derive an expression for the activity coefficient for component 1 (i.e., 1 ). Problem 2: At low pressures, the van der Waals equation of state for a binary mixture of components 1 and 2 is given by Where: v=PRT+(bmixRTamix)bmix=x1b1+x2b2amix=x1a11+x2a22+x1x212122a12(a11+a22)(oftencalledthe"exchangeenergy") The low-pressure form of the van der Waals equation of state for pure component i is vi=PRT+(biRTaii). From this equation of state, one can show that gE=x1x212RTP Given this expression for the excess Gibbs energy, derive an expression for the activity coefficient for component 1 (i.e., 1 )