At equilibrium, the concentrations of reactants and products can be predicted using the equilibrium constant, Ke. which is a mathematical expression based on the chemical equation. For example, in the reaction aA + bB cC + dD where a, b, c, and d are the stoichiometric coefficients, the equilibrium constant is CD (AB Ke= where [A]. [B]. [C], and [D] are the equilibrium concentrations. If the reaction is not at equilibrium, the quantity can still be calculated, but it is called the reaction quotient, Qe. instead of the equilibrium constant, Ke. Qe ICD (A), "B where each concentration is measured at some arbitrary time t. Part A A mixture initially contains A, B. and C in the following concentrations: [A] = 0.650 M. [B] 0.650 M. and [C]=0.350 M. The following reaction occurs and equilibrium is established: A + 2B C At equilibrium, [A] = 0.530 M and [C] = 0.470 M. Calculate the value of the equilibrium constant. Ke Express your answer numerically. View Available Hint(s) K₂= Submit VD] ΑΣΦΑ 3 Previous Answers Part B Complete previous part(s) C X Incorrect; Try Again; 5 attempts remaining ?

Chemistry: The Molecular Science
5th Edition
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Chapter12: Chemical Equilibrium
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Problem 113QRT
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**Equilibrium Constant and Reaction Quotient**

**Concept Overview:**

At equilibrium, the concentrations of reactants and products can be predicted using the equilibrium constant, \( K_c \). This is a mathematical expression based on the chemical equation. For example, in the reaction:

\[ aA + bB \rightleftharpoons cC + dD \]

where \( a, b, c, \) and \( d \) are the stoichiometric coefficients, the equilibrium constant is defined as:

\[ K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]

where \([A], [B], [C],\) and \([D]\) are the equilibrium concentrations. If the reaction is not at equilibrium, the quantity can still be calculated, but it is called the reaction quotient, \( Q_c \), instead of the equilibrium constant, \( K_c \):

\[ Q_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \]

where each concentration is measured at some arbitrary time \( t \).

---

**Example Problem:**

**Part A**

A mixture initially contains \( A, B, \) and \( C \) in the following concentrations: \([A] = 0.650 \, M\), \([B] = 0.650 \, M\), and \([C] = 0.350 \, M\). The following reaction occurs and equilibrium is established:

\[ A + 2B \rightleftharpoons C \]

At equilibrium, \([A] = 0.530 \, M\) and \([C] = 0.470 \, M\). Calculate the value of the equilibrium constant, \( K_c \).

**Express your answer numerically.**

- **Hints:** View Available Hint(s)

- **Input Box** for \( K_c = \) [ ]

- **Submit Button**

- Message: "Incorrect; Try Again; 5 attempts remaining"

---

**Next Steps:**

To continue to Part B, complete the previous part(s).
Transcribed Image Text:**Equilibrium Constant and Reaction Quotient** **Concept Overview:** At equilibrium, the concentrations of reactants and products can be predicted using the equilibrium constant, \( K_c \). This is a mathematical expression based on the chemical equation. For example, in the reaction: \[ aA + bB \rightleftharpoons cC + dD \] where \( a, b, c, \) and \( d \) are the stoichiometric coefficients, the equilibrium constant is defined as: \[ K_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \] where \([A], [B], [C],\) and \([D]\) are the equilibrium concentrations. If the reaction is not at equilibrium, the quantity can still be calculated, but it is called the reaction quotient, \( Q_c \), instead of the equilibrium constant, \( K_c \): \[ Q_c = \frac{[C]^c[D]^d}{[A]^a[B]^b} \] where each concentration is measured at some arbitrary time \( t \). --- **Example Problem:** **Part A** A mixture initially contains \( A, B, \) and \( C \) in the following concentrations: \([A] = 0.650 \, M\), \([B] = 0.650 \, M\), and \([C] = 0.350 \, M\). The following reaction occurs and equilibrium is established: \[ A + 2B \rightleftharpoons C \] At equilibrium, \([A] = 0.530 \, M\) and \([C] = 0.470 \, M\). Calculate the value of the equilibrium constant, \( K_c \). **Express your answer numerically.** - **Hints:** View Available Hint(s) - **Input Box** for \( K_c = \) [ ] - **Submit Button** - Message: "Incorrect; Try Again; 5 attempts remaining" --- **Next Steps:** To continue to Part B, complete the previous part(s).
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