The excess chemical potential of acetonitrile in its own pure liquid is Beta^x~ 8.4 at 20 degrees Celsius (293 K) and atmospheric pressure (0.1 MPa). The density of liquid acetonitrile is 0.79 g/ml and it has a molecular weight of 41 g/mol and a hard-sphere diameter of ~ 0.424 nm.
a. What is the packing fraction of liquid acetonitrile?
b. Use the can der Waals equation to predict the repulsive contribution to BEta mu^x for acetonitrile dissolved in its own pure liquid?
c. Combine your results in b with the total experimental value of BEta Mu ^x to obtain the attractive contribution to BEta mu ^x and estimate the value of cohesive coefficient t?