Chapter 1, Problem 27RPS

### Chemistry & Chemical Reactivity

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

Chapter
Section

### Chemistry & Chemical Reactivity

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

# To determine the average mass of a popcorn kernel, you collect the following data:Plot the data with number of kernels on the x-axis and mass on the y-axis. Draw the best straight line using the points on the graph (or do a least- squares or linear regression analysis using a computer program), and then write the equation for the resulting straight line. What is the slope of the line? What does the slope of the line signify about the mass of a popcorn kernel? What is the mass of 20 popcorn kernels? How many kernels are there in a handful of popcorn with a mass of 20.88 g?

Interpretation Introduction

Interpretation: The unknown values using the graph has to be predicted.

Concept Introduction:

Graph and graphing: In the equation,y=x+b where y is referred as dependent variable, x is called the independent variable, and m is the slope of the line.

Explanation
• Draw the graph:

Figure 1

Â Â Considerâ€‰twoÂ points:Â (35,5.9)Â asÂ (x1,y1)Â andÂ (12,2.1)Â asÂ (x2,y2)yÂ =Â mÂ xÂ +Â bÂ Â Â Â mÂ =Â Î”yÎ”x=Â 3.823Â =Â 0.165Â Â m=0.165,â€‰so,yÂ =Â (0.165)Â xÂ +Â bconsiderÂ theÂ pointÂ (35,5.9)Â asÂ (x,y)Â andÂ substituteÂ inÂ aboveÂ eqn:5.9Â =Â (0.165)Â 35Â +Â b5.9âˆ’5.8â€‰=bb=0.1Therefore,yÂ =Â Â (0.165)Â xÂ +Â 0

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