what the answer please!

Problem You are tasked with separating a fresh feed stream containing 30.0 mole percent ethane and the remainder methane into a major product that contains 97.0 mole percent methane. To accomplish this, you intend on using distillation and taking advantage of the different relative volatility of the components. The fresh feed stream enters the process with a molar flow rate of 100.0gmol/min. The first column achieves a separation with an overhead product containing 90.0 mole percent methane and a bottoms product containing 97.0 mole percent ethane. The overhead product from the first column is fed to a second distillation column. The bottoms product from the first column is a minor product of the process. The overhead product from the second column is the major product. The bottoms from the second column has a flow rate of 100.0gmol/min and is recycled back to the first column. Part A (64 points): Draw and completely label a process flow diagram for this system. Number each of the streams. Clearly indicate the knowns and unknowns and the numerical values of the knowns Part B (24 points) Calculate the number of degrees of freedom corresponding to each of the following systems. Assume that no information other than that given in the problem statement is available for each degree-of-freedom analysis. Show your work and clearly designate the knowns and unknowns for each system. 1. Overall system 2. Mixing point for fresh feed and recycle 3. Column 1 4. Column 2 5. Mixing point and Column 1 6. Column 1 and Column 2 Part C (12 points) Set up the required equations but do not solve them. 1. What is the flow rate of the major product? 2. What is the mole fraction of methane in the recycle stream