# The decomposition of SO 2 Cl 2 to SO 2 and Cl 2 is first-order in SO 2 Cl 2 . SO 2 Cl 2 (g) → SO 2 (g) + Cl 2 (g) Rate = k [SO 2 Cl 2 ] where k = 0.17/hr (a) What is the rate of decomposition when [SO 2 Cl 2 ] = 0.010 M? (b) What is the half-life of the reaction? (c) If the initial pressure of SO 2 Cl 2 in a flask is 0.050 atm, what is the pressure of all gases (i.e., the total pressure) in the flask after the reaction has proceeded for one half-life?

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14, Problem 72GQ
Textbook Problem
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## The decomposition of SO2Cl2 to SO2 and Cl2 is first-order in SO2Cl2.SO2Cl2(g) → SO2(g) + Cl2(g)Rate = k[SO2Cl2] where k = 0.17/hr (a) What is the rate of decomposition when [SO2Cl2] = 0.010 M? (b) What is the half-life of the reaction? (c) If the initial pressure of SO2Cl2 in a flask is 0.050 atm, what is the pressure of all gases (i.e., the total pressure) in the flask after the reaction has proceeded for one half-life?

(a)

Interpretation Introduction

Interpretation:

For the given reaction, rate of decomposition when SO2Cl2 is 0.010 M should be determined.

Concept introduction:

Rate law or rate equation: Rate law:

It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction:  The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction.  The order of the reaction is directly proportional to the concentration of the reactants.

Rate constant, k: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

### Explanation of Solution

Calculation for the rate of decomposition for the given reaction is determined as below,

It is given that the given reaction is a first order and the rate equation is as follows,

Rate=k[SO2Cl2]Given,k=0.17/hr[SO2Cl2]=0

(b)

Interpretation Introduction

Interpretation:

For the given reaction, half-life should be determined.

Concept introduction:

Rate law or rate equation: Rate law:

It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction:  The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction.  The order of the reaction is directly proportional to the concentration of the reactants.

Rate constant, k: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

(c)

Interpretation Introduction

Interpretation:

For the given reaction, pressure of all gases in the flask after the reaction proceeded for one-half life has to be determined.

Concept introduction:

Rate law or rate equation: Rate law:

It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

aA + bBxXRate of reaction = k [A]m[B]n

Order of a reaction:  The order of each reactant in a reaction is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction.  The order of the reaction is directly proportional to the concentration of the reactants.

Rate constant, k: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

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