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In the following equilibrium reaction, ...

In the following equilibrium reaction,
`2AiffB+C`,
the equilibrium concentrations of A, B and C are `1xx10^(-3)M,2xx10^(-3)M and 3xx10^(-3)M` respectively at 300 K. The value of `K_(c)` for this equilibrium at the same temperature is

A

`(1)/(6)`

B

6

C

`(1)/(36)`

D

36

Text Solution

Verified by Experts

The correct Answer is:
B

For the reaction,
`2AiffB+C`
Equilibrium constant, `K_(c)=([B][C])/([A]^(2))`
Given, `[A]=1xx10^(3)M,[B]=2xx10^(-3)M`,
`[C]=3xx10^(-3)M`
`therefore K_(c)=((2xx10^(-3))(3xx10^(-3)))/((1xx10^(-3))^(2))=6`
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