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At 25°c, K = 0.090 for the reaction H 2 O ( g ) + Cl 2 O ( g ) ⇌ 2 HOCI ( g ) Calculate the concentrations of all species at equilibrium for each of the following cases. a . 1.0 g H 2 O and 2.0 g Cl 2 O are mixed in a 1.0-L flask. b . 1.0 mole of pure HOCI is placed in a 2.0-L flask.

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Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404

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Section
BuyFindarrow_forward

Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404
Chapter 13, Problem 60E
Textbook Problem
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At 25°c, K = 0.090 for the reaction

H 2 O ( g ) + Cl 2 O ( g ) 2 HOCI ( g )

Calculate the concentrations of all species at equilibrium for each of the following cases.

a. 1.0 g H2O and 2.0 g Cl2O are mixed in a 1.0-L flask.

b. 1.0 mole of pure HOCI is placed in a 2.0-L flask.

(a)

Interpretation Introduction

Interpretation: The value of the equilibrium constant for the reaction between H2O and Cl2O and the initial mass of the species involved is given. The equilibrium concentrations of the three gases involved in the system are to be calculated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction. When the equilibrium constant is expressed in terms of concentration, it is represented as K .

To determine: The equilibrium concentrations of the three gases involved in the system

Explanation of Solution

Given

The stated reaction is,

H2O(g)+Cl2O(g)2HOCl(g)

The initial mass of H2O(g) is 1.0g .

The initial mass of Cl2O(g) is 2.0g .

The equilibrium constant (K) value is 0.090 .

The volume of the container is 1.00L .

The molar mass of H2O=2H+O=2(1)+16=18g/mol

The molar mass of Cl2O=2Cl+O=2(35.5)+16=87g/mol

Formula

The number of moles of a substance is calculated by the formula,

Numberofmoles=GivenmassMolarmass

Substitute the values of the given mass and molar mass of H2O and Cl2O in the above expression.

For H2O ,

NumberofmolesofH2O=1.0g18.0g/mol=0.056mol

For Cl2O ,

NumberofmolesofCl2O=2.0g87.0g/mol=0.023mol

The concentration of a reactant is calculated by the formula,

Concentration=MolesVolume(L)

The initial concentration of H2O is calculated by the formula,

ConcentrationofH2O=MolesofH2OVolumeoftheflask(L)

Substitute the given values of the number of moles of H2O and the volume of the flask in the above expression.

ConcentrationofH2O=0.056moles1.00L=0.056M

The initial concentration of Cl2O is calculated by the formula,

ConcentrationofCl2O=MolesofCl2OVolumeoftheflask(L)

Substitute the given values of the number of moles of Cl2O and the volume of the flask in the above expression.

ConcentrationofCl2O=0.023moles1.00L=0.023M

To determine: The equilibrium concentrations of the three gases involved in the system.

Explanation:

The concentration of H2O and Cl2O consumed is assumed to be x .

The equilibrium concentrations are represented as,

H2O(g)+Cl2O(g)2HOCl(g)Initialconcentration0.0560.0230Change-x-x+2xEquilibriumconcentration0.056-x0.023-x2x

At equilibrium, the equilibrium ratio is expressed by the formula,

K=ConcentrationofproductsConcentrationofreactants

Where,

  • K is the equilibrium constant.

The equilibrium ratio for the given reaction is,

K=[HOCl]2[H2O][Cl2O] (1)

According to the formulated ICE table,

The equilibrium concentration of H2O(g) is (0

(b)

Interpretation Introduction

Interpretation: The value of the equilibrium constant for the reaction between H2O and Cl2O and the initial mass of the species involved is given. The equilibrium concentrations of the three gases involved in the system are to be calculated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction. When the equilibrium constant is expressed in terms of concentration, it is represented as K .

To determine: The equilibrium concentrations of the three gases involved in the system.

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