Question

6. (50 pts. Now that you have worked problem 9.46, you should have an understanding of the following problem, which is rather involved but is extremely instructive for understanding phase transitions in particular and equilibrium in general. a. Find the temperature at which N, boils at a pressure of 1 bar assuming N2 is well described by a van der Waals equation. Use the van der Waals constants given in Table 2(16).3. Compare this temperature with the true boiling point of N2. The boiling temperature is the temperature at which the areas under the two van der Waals loops are equal (which is the result you proved in the problem above). In order to solve the problem, you will need to graph the van der Waals equation for N2 for various values of the temperature and compute the areas under the loops. MathCad is ideal for this. The loops you obtain will not be symmetric. I am not particularly concerned that you get the loops to be exactly the same area, but I want you to be able to go through the mechanics of the problem. b. The correct answer is not 77 K. Why is this not surprising? Is it higher or lower?

a=1.3661 and b=1.3483 according to table 2.3

Answer 1

M6o. = t, ৭८ \ 3667. (P ,be\-3५83 RT / V: 22-५८, ২= 8-314x(6-2rmc. T (T + 1961) (2দनऊपड3) 3 8-314%(F 22 1 २ २०३४१7५2 254k(27नS) ut, th acu bo pt सk · T ১ n০ &১ becwke N iconiderod > aa not an ideal