Chapter 5: Problem 6
Which statement is true about equilibrium constant? The value of \(K_{C}\) a. remains same b. changes as product concentration changes c. changes as reactant concentration changes d. changes as temperature changes.
Short Answer
Expert verified
The value of \(K_C\) changes as temperature changes.
Step by step solution
01
Understanding Equilibrium Constant
The equilibrium constant, denoted as \(K_C\), is a measure of the concentrations of reactants and products at equilibrium for a reversible reaction at a given temperature, represented by \(K_C = \frac{[Products]}{[Reactants]}\). It indicates the ratio of concentrations of products to reactants raised to their stoichiometric coefficients.
02
Examining Reaction Concentrations
The value of \(K_C\) is determined by the reaction's stoichiometry and the concentrations of reactants and products at equilibrium. It does not change if the concentrations of reactants or products change because \(K_C\) is specific to a given reaction at a given temperature, assuming the reaction has reached equilibrium.
03
Effect of Temperature on \(K_C\)
The only factor that can change the value of \(K_C\) is a change in temperature. According to Le Chatelier’s principle, changing the temperature affects the position of equilibrium and thus alters the equilibrium constant \(K_C\). Thus, when the temperature changes, the equilibrium constant \(K_C\) changes as a result.
04
Identifying the True Statement
We conclude that the value of \(K_C\) remains unchanged with changes in concentrations of reactants or products (options b & c), but it does change with temperature (option d). Therefore, the true statement is that \(K_C\) changes as temperature changes.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Le Chatelier's Principle
Le Chatelier's principle provides a simple way to predict how changes in conditions can affect chemical equilibrium.
It can help to understand how a system at equilibrium reacts to external changes, such as concentration, pressure, or temperature. When a system in equilibrium faces any change, Le Chatelier's principle states that the system will adjust itself to counteract that change and restore a new equilibrium.
These ideas help to understand why the equilibrium constant, denoted as \(K_C\), remains unchanged with changes in concentrations. This is because when concentration changes, the system shifts to balance it without altering \(K_C\). However, a key point to remember is that temperature changes can actually change \(K_C\). This is a unique effect explored further under the concept of temperature effect on equilibrium.
It can help to understand how a system at equilibrium reacts to external changes, such as concentration, pressure, or temperature. When a system in equilibrium faces any change, Le Chatelier's principle states that the system will adjust itself to counteract that change and restore a new equilibrium.
- For example, adding more reactants will shift the equilibrium to produce more products to consume the added reactants.
- Similarly, removing products will also cause a shift towards forming more products.
These ideas help to understand why the equilibrium constant, denoted as \(K_C\), remains unchanged with changes in concentrations. This is because when concentration changes, the system shifts to balance it without altering \(K_C\). However, a key point to remember is that temperature changes can actually change \(K_C\). This is a unique effect explored further under the concept of temperature effect on equilibrium.
Reaction Stoichiometry
Reaction stoichiometry involves the quantitative relationship between reactants and products in a chemical reaction.
It plays a key role when dealing with the equilibrium constant \(K_C\). The stoichiometric coefficients in a balanced chemical equation must be used as exponents when calculating \(K_C\).
For instance, consider a simple reaction: \[ aA + bB \rightleftharpoons cC + dD \]
The equilibrium constant \(K_C\) for this reaction is represented as:
\[ K_C = \frac{[C]^c [D]^d}{[A]^a [B]^b} \]
Here:
This relationship shows how we use stoichiometry to determine \(K_C\). It clearly demonstrates that changes in these concentrations, without a change in temperature, do not affect \(K_C\) since it is inherently tied to the reaction's stoichiometry.
It plays a key role when dealing with the equilibrium constant \(K_C\). The stoichiometric coefficients in a balanced chemical equation must be used as exponents when calculating \(K_C\).
For instance, consider a simple reaction: \[ aA + bB \rightleftharpoons cC + dD \]
The equilibrium constant \(K_C\) for this reaction is represented as:
\[ K_C = \frac{[C]^c [D]^d}{[A]^a [B]^b} \]
Here:
- [C] and [D] denote concentrations of products, C and D, respectively.
- [A] and [B] denote concentrations of reactants, A and B, respectively.
- The letters \(a, b, c,\) and \(d\) represent the stoichiometric coefficients from the balanced equation.
This relationship shows how we use stoichiometry to determine \(K_C\). It clearly demonstrates that changes in these concentrations, without a change in temperature, do not affect \(K_C\) since it is inherently tied to the reaction's stoichiometry.
Temperature Effect on Equilibrium
Temperature can have a significant impact on the position of equilibrium and the equilibrium constant \(K_C\) for a reaction. This effect is well explained by Le Chatelier's principle.
When temperature changes, the equilibrium shifts to absorb the effect of the change.
As a result of these shifts, the value of \(K_C\) is affected.
The equilibrium constant is therefore not a constant value under all conditions, but specific to the temperature at which the reaction is at equilibrium.
This reinforces the understanding that while concentrations of substances don't alter \(K_C\), temperature does, making it a vital factor to consider when studying chemical equilibria.
When temperature changes, the equilibrium shifts to absorb the effect of the change.
- For exothermic reactions (releases heat), increasing the temperature causes the equilibrium to shift towards the reactants to absorb the added heat.
- For endothermic reactions (absorbs heat), increasing the temperature shifts equilibrium toward products to take in more heat.
As a result of these shifts, the value of \(K_C\) is affected.
The equilibrium constant is therefore not a constant value under all conditions, but specific to the temperature at which the reaction is at equilibrium.
This reinforces the understanding that while concentrations of substances don't alter \(K_C\), temperature does, making it a vital factor to consider when studying chemical equilibria.