   # A plot of absorbance versus concentration of a series of solutions of KMnO 4 gives a straight line with the equation: y = 2.50 x + 0.02. What is the concentration of a KMnO 4 in a solution that has an absorbance of 0.442? (a) 1.08 M (b) 0.157 M (c) 0.442 M (d) 0.169 M ### 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 4.8, Problem 2RC
Textbook Problem
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## A plot of absorbance versus concentration of a series of solutions of KMnO4 gives a straight line with the equation: y = 2.50x + 0.02. What is the concentration of a KMnO4 in a solution that has an absorbance of 0.442? (a) 1.08 M (b) 0.157 M (c) 0.442 M (d) 0.169 M

Interpretation Introduction

Interpretation:

It should be determined that the concentration of KMnO4 in a solution which has an absorbance of 0.442 .

Concept introduction:

• Absorbance (A): it is the negative logarithm of transmittance of the sample taken. And its value increases as the concentration increases.

Absorbance=-logT=-logPP0

T is the transmittance and it is the ratio of the amount of light transmitted by or assign through the sample (P) relative to the light that initially fell on the sample.

Transmittance(T)=PP0=IntencityoftransmittedlightIntencityofincidentlight

• y=mx+c is a straight line equation where m is the slope and c is the intercept.
• Concentration of the solution can be expressed in many ways; molarity is one of the important parameter to express the concentration of solution. And it is a measure of the concentration of a solute in a solution.

### Explanation of Solution

The equation for the straight line is y=mx + c ,

yAbsorbancexConcentrationmSlopecIntercept

Given,

Absorbance=0.442Slope(m)=2.50Intercept(c)=0.02

Then, applying the values of slope m, and intercept c in the straight line equation,

0.442=2

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