consider the system I2(g)+262 KJ ¡ê 2 I (g) at 1000¡ÆC. In which direction, if any, will the reaction proceed if gaseous iodine atoms are added, the system is compressed, the temperature is decreased, a catalyst is introduced, and gaseous idodine atoms are removed?

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This is a question about Le Chatelier's principal. That principle says, in not so eloquent terms, that a system in equilibrium will try to undo what we do to it. Therefore, if gaseous I2 is added, the system will shift to the right in order to use up the added iodine. As another example, if heat is added to the system, the system will shift to the right in order to use up the heat that has been added.
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