Assuming normal heptane and normal octane to form ideal solutions, do the following: 

a) Calculate the chemical potential of n-C₇(1) in solution with n-C₈(2) at 40 °C, 1 bar, x₁ = 0.45. 

b) Calculate the fugacity of normal heptane at the conditions of part (a). 

c) Calculate the bubble pressure of the solution (x₁ = 0.45) at 40 °C. 

d) Calculate the dew pressure of the solution at 40 °C. 

e) Calculate the bubble temperature at 1 bar. 

f) Calculate the dew temperature at 1 bar.

g) Calculate the amount and composition of vapor and liquid when a solution with z₁ = 0.45 is flashed to 40 °C, 0.065 bar.