PROBLEM #1 (50 points) A binary mixture consisting of 33.33 mol% species "1" and 66.67 mol% species "2" at 330 K and 0.90 bar is to be analyzed in order to calculate molar volume and fugacities. It is assumed that Eqs. (3.38), (10.61) & (10.62) can be used to predict the mixture. The following data on the second virial coefficient is provided as follows: Bu = -1440.1, B2 = -1150.2 & Biz = -1040.31 (all cmmol-"). a) (20 points) Using the above data for the second virial coefficients and appro- priate expressions for the mixing rules, determine the mixture second virial coefficient B (or Brie) and and use it to determine the molar volume of the mixture in cm mol-1 b) (30 points) For the same mixture and conditions and using the same val- ues for the second virial coefficients, calculate the fugacities f, and fugacity coefficients of the species in the mixture