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If the equilibrium constant of the react...

If the equilibrium constant of the reaction `2HI(g)hArrH_2(g)+I_2(g)` is `0.25`, the equilibrium constant of the reaction
`1/2H_2(g)+1/2I_2(g)hArr HI(g)`
will be

A

`2.0`

B

`4.0`

C

`1.0`

D

`3.0`

Text Solution

Verified by Experts

The correct Answer is:
A
Note that the second equation can be generated from the first equation in two steps:
Step 1: Reverse the equation
`H_2(g)+I_2(g)hArr2HI(g)`
`:. K_(eq)^'=(1)/(0.25)=(100)/(25)=4`
Step 2: Multiply the equation by `1//2`:
`1/2H_2(g)+1/2I_2(g)hArr2HI(g)`
`:. K_(eq)^'=(4)^(1//2)=2`
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