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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

Hydrogen and carbon dioxide react at a high temperature to give water and carbon monoxide.

H2(g) + CO2(g) ⇄ H2O(g) + CO(g)

  1. (a) Laboratory measurements at 986 °C show that there are 0.11 mol each of CO and H2O vapor and 0.087 mol each of H2 and CO2 at equilibrium in a 50.0-L container. Calculate the equilibrium constant for the reaction at 986 °C.
  2. (b) Suppose 0.010 mol each of H2 and CO2 are placed in a 200.0-L container. When equilibrium is achieved at 986 °C, what amounts of CO(g) and H2O(g), in moles, would be present? [Use the value of Kc from part (a).]

(a)

Interpretation Introduction

Interpretation: The equilibrium constant Kc for the reaction has to be determined.

Concept introduction:

  • Equilibrium constant: At equilibrium the ratio of products to reactants has a constant value. And it is represented by the letter K. 

    For a general reaction, aA+bBcC+dD

    The equilibrium constant Kc=[C]c[D]d[A]a[B]b, where a, b, c and d are the stoichiometric coefficients of reactant and product in the reaction. Concentration value for solid substance is 1.

    If the value of Kc and the concentration of any of the reactant of a reaction is known then the concentration of product can be determined by multiplying Kc with the concentration of reactant.

Explanation

The balanced chemical equation for the given reaction is,

H2(g)+CO2(g)H2O(g)+CO(g)

By using the given amount of reactants and product, their concentration can be calculated by using the equation,

Concentration =AmountofsubstanceVolume

Concentration of H2OandCO=0.11mol50L=2.2×103mol/L

Concentration of H2andCO2=0

(b)

Interpretation Introduction

Interpretation: The amount of COandH2O in the given conditions has to be determined.

Concept introduction:

  • Equilibrium constant: At equilibrium the ratio of products to reactants has a constant value. And it is represented by the letter K. 

    For a general reaction, aA+bBcC+dD

    The equilibrium constant Kc=[C]c[D]d[A]a[B]b, where a, b, c and d are the stoichiometric coefficients of reactant and product in the reaction. Concentration value for solid substance is 1.

    If the value of Kc and the concentration of any of the reactant of a reaction is known then the concentration of product can be determined by multiplying Kc with the concentration of reactant.

  • Concentration =AmountofsubstanceVolume
  • Amountofsubstance=Concentration×Volume

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