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K is basically raised to whatever factor you multiplied your reaction by. Lets say you have 2SO2(g)+O2(g)⇌2SO3(g) and you multiply iy by a factor of 2 obtaining 4SO2(g)+2O2(g)⇌4SO3(g). The K expression is K=[SO3]^4[SO2]^4/^2. For the original equation assume we are given K to be 2.8*10^2, then the K for the new equation will be (2.8*10^2)^2. In short whatever you multiply raise K to that number.
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