Problem 3 (20 points) The molar enthalpy for mixture of n-octanol and n-decane, at atmospheric pressure, is approximated as: h(T) = (x1h1 + x2h2) + X112A J/mol = Here hi - hi(T) is the molar enthalpy of n-octanol, and h2 = h2(T) is the molar enthalpy of n-decane; 21 and x2 are molar fractionss of n-octanol and n-decane, respectively. The coefficient A depend on tempera- ture T, but not on compositions xi or X2. (3.a) Find the expressions to the partial molar enthalpies hi and h2, respectively. (10 points) (3.b) Verify the identity h = xh + x2h2. (5 points) (3.c) The temperature-dependence of A is given as A = -12974 + 51.505T. Calculate the differ- ence h hi at x1 = 0.5 and T = 300 K. (5 points) =