For the reaction A ( g ) 2 ~B ( ~g ), the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500 , at 1000 K . [Given : R =0.0831 ~L ~atm ~mol ^ -1 ~K ^ -1 ] K _ p for the reaction at 1000 K is

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Correct answer: C. 0.033

aligned K _ C & = K _ f K _ b \ & = K _ f 2500 ~K _ f \ & = 1 2500 \ ~K _ p & = K _ C ( RT )^ n _ g \ = & 1 2500 (0.0831 1000)^1 \ ~K _ p & =0.033 aligned

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