1.

In a reaction between `H_(2)` and `I_(2)` at a certain temperature, the amounts of `H_(2), I_(2)` and HI at equilibrium were found to be `0.45` mol, `0.39` mol, and `3.0` mol respectively. Calculate the equilibrium constant for the reaction at the given temperature.

Answer» Correct Answer - A::B::C
The reaction between `H_(2)` and `I_(2)` may be represented as
`H_(2)+I_(2) hArr 2HI`
Amounts of `H_(2), I_(2)`, and `HI` at equilibrium are given to be `H_(2)=0.45 "mol", I_(2)=0.39 "mol"` and `HI=3.0 "mol"`
Suppose the volume of the vessel (i.e., reaction mixture) `=V L`
Then, the molar concentration at equilibrium will be
`[H_(2)]=0.45/V, [I_(2)]=0.39/V`, and `[HI]=3.0/V "mol" L^(-1)`
Applying the law of chemical equilibrium to the above reaction
`K_(c)=([HI]^(2))/([H_(2)][I_(2)])=((3.0//V^(2)))/((0.45//V)(0.39//V))`
`=((3.0)^(2))/(0.45xx0.39)=51.28`


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