Consider a mixture, or solution, of a number of chemical species. We denote the number of particles of each species by nnii, and its corresponding mole fraction by xi, which we define as: xi=nini We may speak of the total Gibbs free energy of the solution, which is denoted by G and measured in joules. Deferring the discussion of its physical significance, we note that G is uniquely defined for a mixture given (n n1,n2, ...), relative to some reference state. To compute G given the amount of each species, we use the result: G=inii where i is called the chemical potential of species i in the given mixture. It is defined as the response of G to adding species i to the mixture, keeping temperature T, pressure P, and the amounts of all other species constant, given by the partial derivative: i=[niG]T,P,nj=i For example, the Gibbs free energy of an ideal solution is given by: G=inii+kBTinilnxi where i are the reference chemical potentials, each a constant property of species i at constant T and P. Find i for and ideal solution consisting of two species. Express the result in terms of x1,x2, and other quantities. Select the correct result from the options below. Show your explanation (No points given without explanation) (a) 1=1+kBTlnx1 (b) 1=1+kBT(lnx1+lnx2) (c) 1=1+2+kBTlnx1 (d) 1=11=1+kBTlnx1+2+kBT(lnx1+lnx2)