If I put something in the fridge that’s 30°C, does it get colder faster than something I put in at 15°C, over a 20 minute period?

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If I put something in the fridge that’s 30°C, does it get colder faster than something I put in at 15°C, over a 20 minute period?

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The 15C item will likely be colder at the end of the 20 minutes, but the 30C item will have given up more heat since it originally had so much more relative to the ambient ~4C

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