Two reactions and their equilibrium constants are given. A + 2 B → 2CK1 = 2.17 2C → DK2 = 0.222 A+2B→2CK1=2.172C→DK2=0.222 Calculate the value of the equilibrium constant for the reactions.

Respuesta :

This is an incomplete question, here is a complete question.

Two reactions and their equilibrium constants are given.

(1) [tex]A+2B\rightleftharpoons 2C[/tex];        [tex]K_1=2.17[/tex]

(2) [tex]2C\rightleftharpoons D[/tex];        [tex]K_2=0.222[/tex]

Calculate the value of the equilibrium constant for the reactions.

[tex]D\rightarrow A+2B[/tex] ;        [tex]K_3=?[/tex]

Answer: The value of equilibrium constant for the given reaction is, 2.08

Explanation:

The given chemical equations are:

(1) [tex]A+2B\rightleftharpoons 2C[/tex];        [tex]K_1=2.17[/tex]

(2) [tex]2C\rightleftharpoons D[/tex];        [tex]K_2=0.222[/tex]

We need to calculate the equilibrium constant for the chemical equation, which is:

[tex]D\rightarrow A+2B[/tex] ;        [tex]K_3=?[/tex]

  • If the equation is revered then the equilibrium constant will be the reciprocal of the reaction.
  • If the equation is added then the equilibrium constant will be the multiplied.

The value of equilibrium constant for the given reaction is:

[tex]K_3=\frac{1}{K_1}\times \frac{1}{K_2}[/tex]

[tex]K_3=\frac{1}{2.17}\times \frac{1}{0.222}[/tex]

[tex]K_3=2.08[/tex]

Hence, the value of equilibrium constant for the given reaction is, 2.08

The equilibrium constant for the given reaction has been 2.07.

The given reaction and their equilibrium constant has been given as:

[tex]\rm A\;+\;2B\;\leftrightharpoons 2C\;;K1=2.17 \\2C\leftrightharpoons D\;;K2=0.222[/tex]

The reaction for which equilibrium constant has to be calculated has been:

[tex]\rm D\;\rightarrow\;A\;+\;2B[/tex]

Computation for Equilibrium Constant

The equation has been achieved from the given reactions by the reverse of reaction 1, leading to the production of A and 2B.

The reactant C has been eliminated in the reaction by the reverse of the reaction 2.

Thus, the equilibrium constant, K has been given as:

[tex]K=\dfrac{1}{K1}\;+\;\dfrac{1}{K2}[/tex]

Substituting the values  in the equation for the calculation of K:

[tex]K=\dfrac{1}{2.17}\;\times\;\dfrac{1}{0.222 }\\K=0.46\times 4.5\\K=2.07[/tex]

The equilibrium constant for the given reaction has been 2.07.

For more information about the equilibrium constant, refer to the link:

https://brainly.com/question/17960050

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