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A vessel contains three gases A, B and C in the equilibrium:

$$A\rightleftharpoons 2B+C$$

At equilibrium, the concentration of A was $$3$$M and that of B was $$4$$M. On doubling the volume of the vessel, the new equilibrium concentration of B was $$3$$M. Calculate $$K_c$$ and the initial equilibrium concentration of C.

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