Chapter 2, Problem 168SCQ

### 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

# A jar contains some number of jelly beans. To find out precisely how many are in the jar, you could dump them out and count them. How could you estimate their number without counting each one? (Chemists need to do just this kind of “bean counting” when they work with atoms and molecules. Atoms and molecules are too small to count one by one, so chemists have worked out other methods to determine the number of atoms in a sample.)

Interpretation Introduction

Interpretation: The number of jelly beans in a jar should be estimated without counting each one.

Concept introduction:

Equation to find the number of a substance if it’s mass and the total mass is given,

For example if there is two substance a and b,

Numberofsubstance(a)=MassoftotalsubstanceMassofonesubstance=(a+b)(mass ofa)

Explanation

Here,

A jar contains some number of jelly beans.

It is possible to estimate the number of jelly beans without counting each one by knowing,

• The mass of one jelly beans
• The mass of jar + jelly beans
• The mass of empty jar

Then by using these, mass of all jelly beans in the jar can be calculated,

Â Â Â Â Massâ€‰â€‰ofâ€‰â€‰jellyâ€‰â€‰beansâ€‰â€‰inâ€‰jarâ€‰â€‰â€‰=â€‰â€‰(Massâ€‰â€‰ofâ€‰â€‰jarâ€‰â€‰+â€‰â€‰jellyâ€‰â€‰beans)â€‰âˆ’&#

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