You are tasked with separating a stream containing 35.0 mole percent ethane and the remainder methane into a product that contains 98.0 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 100.0 gmol/min. The first column achieves a separation with an overhead product containing 95.0 mole percent methane and a bottoms product containing 98.0 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 secondary product of the process. The overhead product from the second column is the desired product. The bottoms from the second column has a flow rate of 100.0 gmol/min and is recycled back to the first column. What is the mole fraction of methane in the recycle stream? i 0.8