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There is a table earlier in the chapter which is needed for reference in this problem. The table will give you the equilibrium constant, K, at various temperatures for specific equilibrium reactions, such as H2(g)+Cl22HCl (g). Knowing the specific equilibrium constants of these referenced equilibrium reactions at certain temperatures, you should be able to find the equilibrium constant of the given reaction in the question at 300K.
Answer: Refer to the table referenced earlier in the chapter. It tells you that K equals 377 so you would set 377 equal to your K equation (products over reactions, not including solids or liquids), and then determine K from the table again from the other elements associated with the reaction. see that it is 4.0+10^31. So you would multiply the two K values to get 1.5*10^34.
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