Determine the value of the equilibrium constant, kgoal, for the reaction co2(g)⇌c(s)+o2(g), kgoal=? by making use of the following information: 1. 2co2(g)+2h2o(l)⇌ch3cooh(l)+2o2(g), k1 = 5.40×10−16 2. 2h2(g)+o2(g)⇌2h2o(l), k2 = 1.06×1010 3. ch3cooh(l)⇌2c(s)+2h2(g)+o2(g), k3 = 2.68×10−9

Answer : The value of for the final reaction is,

Explanation :

The following equilibrium reactions are :

(1)

(2)

(3)

The final equilibrium reaction is :

Now we have to calculate the value of for the final reaction.

First half the equation 1, 2 and 3 that means we are taking square root of equilibrium constant and then add all the equation 1, 2 and 3 that means we are multiplying all the equilibrium constant, we get the final equilibrium reaction and the expression of final equilibrium constant is:

Now put all the given values in this expression, we get :

Therefore, the value of for the final reaction is,

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