Other mistake: The Kryptonian crystals need water to start growing. Towards the end of the film, when Lex puts a crystal into the Kryptonite cylinder, it immediately starts to grow and crystallize into the Kryptonite without any water.
Other mistake: The spaceship used by Kal El is very small for a 5 year trip - he'd need to eat something in that time too!
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Suggested correction: Since we know nothing about Kryptonian technology, we can only speculate how or if supplies are stored.
