Brain teaser on inception pressure cookers

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boenbrink
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Ok, so my room mate and I were talking and came up with this question.
What would happen if you placed a smaller pressure cooker inside of a larger one?
Both are rated for the same temp and pressure.
Would the one inside reach double the psi?
Would it blow up?
 
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Why would it? It's at the same temperature as the outer one and will therefore be at the same pressure.
 
So it should just double the pressure inside the smaller one?