   # The decomposition of SO 2 Cl 2 is a first-order reaction: SO 2 Cl 2 (g) → SO 2 (g) + Cl 2 (g) The rate constant for the reaction is 2.8 × 10 −3 min −1 at 600 K. If the initial concentration of SO 2 Cl 2 is 1.24 ×10 −3 mol/L, how long will it take for the concentration to drop to 0.31 × 10 −3 mol/L? ### Chemistry & Chemical Reactivity

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

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14, Problem 17PS
Textbook Problem
34 views

## The decomposition of SO2Cl2 is a first-order reaction:SO2Cl2(g) → SO2(g) + Cl2(g)The rate constant for the reaction is 2.8 × 10−3 min−1 at 600 K. If the initial concentration of SO2Cl2 is 1.24 ×10−3 mol/L, how long will it take for the concentration to drop to 0.31 × 10−3 mol/L?

Interpretation Introduction

Interpretation: The time required for the reaction has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

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

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

### Explanation of Solution

The reaction rate of the chemical reaction is calculated as,

Reactionrate = k [SO2Cl2].Given:The reaction is first order reaction,rate law is , ln[SO2Cl2]t=-kt+ln[SO2Cl2]0time = 27minsTherefore,ln[SO2Cl2]t=-kt+ ln[SO2Cl2]0ln (0.31×103mol/L)     = (2.8×103min1)(t)+ ln(1

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Most people who successfully maintain weight loss do all of the following except continue to employ many of the...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the difference between the Milky Way and the Milky Way Galaxy?

Horizons: Exploring the Universe (MindTap Course List)

Why do you think this type of approach has not been used more in the past?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

A light ray navels from vacuum into a slab of material with index of refraction n1 at incident angle with resp...

Physics for Scientists and Engineers, Technology Update (No access codes included) 