For a binary mixture of components 1 and 2 , molar mixture volume (in units of cm3/mol ) has been measured, and correlated with the mol fraction of component 1(X1) as follows: V=50+40x1+5X12 a) From this quadratic equation, determine the molar volume of pure component 1 and component 2. b) if 0.5mol of component 1 is mixed with 0.5mol of component 2 , what would be the volume change upon mixing? Does the system show a decrease or an increase in volume upon mixing? c) Using Equation 1, derive equations that would describe the partial molar volumes of component 1 , and component 2 as a function of mol fraction of the component 1 . d) Using the equations that you will derive in part c above, determine the partial molar volumes of component 1 and 2 in the equal molar mixture in part b