100 kmol/hr of fresh feed to an ammonia process contains 0.2225 mole fraction nitrogen, 0.6675 hydrogen, and the balance argon. The feed is combined with a recycle stream containing the same species, and the combined stream is fed to a reactor where 25% single-pass conversion is achieved. The products pass through a condenser where all the ammonia is removed, and the remaining gases are recycled. To prevent buildup of the argon in the system, a purge stream is bled off this recycle stream. The purge stream contains 18.509 mole% argon. What is the overall conversion of nitrogen?
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