Interpretation:
The equilibrium constant for the reaction is to be calculated.
Concept introduction:
When any reaction is at equilibrium then a constant expresses a relationship between the reactant side and the product side. This constant is known as equilibrium constant. It is denoted by
Answer to Problem 20.44E
The equilibrium constant value of a reaction is
Explanation of Solution
The given reaction is shown below.
The given concentrations and rate are shown below.
The ratio of
Where,
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•
•
•
•
•
•
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Substitute first and second columns values for A and B in equation (1).
Hence, the order of reaction with respect to A is one.
Substitute second and third columns values for A and B in equation (1).
Hence, the order of reaction with respect to B is zero.
Hence, the expression for rate law is,
Substitute the first column values for A and B in the above expression.
Thus, the value of
The ratio of rate of the reaction of products is expressed as,
Where,
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•
•
•
•
•
•
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Substitute first and second column values for C and D in equation (2).
Hence, the order of reaction with respect to D is one.
Substitute first and second column values for C and D in equation (2).
Hence, the order of reaction with respect to C is zero.
Hence, the expression for rate law is,
Substitute the first column values for C and D in the above expression.
Thus, the value of
The equilibrium constant of a reaction is calculated by the expression as shown below.
Where,
•
•
The forward and reverse rate constant is
Substitute the value of
Hence, the equilibrium constant value of a reaction is
The equilibrium constant value of a reaction is
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Chapter 20 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
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