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Question

Given below are two reversible reactions :
A+BZ; Kc1=24
2B+C2Y; Kc2=16
The equilibrium constant Kc for the reaction :
A+YZ+C2 is

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Solution

A+BZ; Kc1=24 ......(1)
2B+C2Y; Kc2=16 ......(2)
The reaction 2 is reversed and divided by 2 to obtain
YB+12C; Kc3=1Kc2=116=14 ......(3).
The reactions (1) and (3) are added to obtain the reaction (4).
A+YZ+C2......(4)
The equilibrium constant Kc for the reaction
(4) is
Kc4=Kc1×Kc3=24×14=6.

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