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What is the equilibrium constant expression…

Chemistry Questions

What is the equilibrium constant expression for the reversible reaction CO(g) + 2 H₂(g) ⇌ CH₃OH(g)? A. Kₑq = [CH₃OH][CO][H₂]² B. Kₑq = [CO][H₂]²[CH₃OH] C. Kₑq = [CH₃OH][CO][H₂] D. Kₑq = frac{[text{CH}_3text{OH}]}{[text{CO}][text{H}_2]^2}

Short Answer

The document outlines the chemical reaction involving carbon monoxide, hydrogen, and methanol, represented by CO (g) + 2 H2 (g) ‚áå CH3OH (g). It explains how to apply the law of mass action to establish the equilibrium constant expression, K_eq = [CO] [H2]^2 / [CH3OH], which describes the relationship between the concentrations of reactants and products at equilibrium.

Step-by-Step Solution

Step 1: Understand the Reaction

In this system, we have a chemical reaction involving the following substances: carbon monoxide (CO), hydrogen (H2), and methanol (CH3OH). The reaction can be represented as: CO (g) + 2 H2 (g) ‚áå CH3OH (g). It’s crucial to note that all components are in the gaseous phase, making this a homogeneous equilibrium.

Step 2: Apply the Law of Mass Action

The law of mass action helps us express the equilibrium constant for this reaction. This law states that at equilibrium, the ratio of the concentration of products to reactants is constant. For our reaction, this is expressed in the form: Keq = [CO] [H2]2 / [CH3OH]. The concentration of hydrogen is squared because its stoichiometric coefficient in the balanced equation is 2.

Step 3: Write the Equilibrium Expression

The equilibrium expression incorporates the concentrations of the reactants and products at equilibrium. Thus, for our reaction, we can formally write: Keq = [CO] [H2]2 / [CH3OH]. This expression serves as a valuable tool for predicting the direction of the reaction under specific conditions and calculating the concentrations of the species involved.

Related Concepts

Chemical reaction

A process in which substances (reactants) are transformed into different substances (products) through the breaking and forming of chemical bonds

Homogeneous equilibrium

A type of equilibrium where all reactants and products are in the same phase, typically in a single state of matter, such as all gases or all liquids

Law of mass action

A principle stating that at a given temperature, the ratio of the concentrations of the products to the reactants, each raised to the power of their coefficients in the balanced equation, is constant at equilibrium.