Problem on volumetric flow rate

Methane containing 4 mol% N₂ is flowing through a pipeline at 105.1 kpa and 22 °C. To check this flow rate, N₂ at the same temperature and pressure are introduced to the pipeline at the rate of 2.83 m³/min. At the end of the pipe (where the mixing has completed), N₂ concentration is found to be 4.82 mol%. What is the volumetric flow rate of the original feed (before the addition of N₂) in m³/min?

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