(a) Write a matlab program which can be used to calculate the water activity of a solution containing two sugars having mass fractions (% compositision by weight) x and x. xn is sucrose (molecular weight, M= 342 g/mol; k = 2.7); xe is glucose (molecular weight, M= 180 g/mol; k = 0.5). The water activity of the mixture is aw = (awi)(aw2) where (am) is water activity of a solution containing all the water in the mixture and component 1; and (ae) is water activity of a solution containing all the water in the mixture and component 2 The individual water activity is given as [(aw) log10 = -k,(1- f)? fi where f is the mole fraction of the component i in a solution containing only i and all the water present in the mixture. x:/M fi =1- [(x1/M)+ (1-x, -x) 18 (b) Given the following table, create matlab plots (on the same graph) for aw against x and x. Components % composition water 73 67 60 53 42 35 28 20 13 20 25 30 35 40 45 50 55 60