Chapter 10, Problem 87A

Interpretation Introduction

Interpretation:

This is to be explained how rolls can be used to count pennies also, how dimes are similar to moles.

Concept introduction:

In 1 mol of any substance, there are $6.022\times {10}^{23}$ units of that substance. These units can be atoms and molecules. The number of units in 1 mol of any substance is known as Avogadro’s number. It is denoted by symbol N_A.

Answer to Problem 87A

1 mole contains $6.022\times {10}^{23}$ particles.

1 roll of pennies contains 50 pennies

1 roll of dimes contains 50 dimes.

Explanation of Solution

According to the table, the value of roll of penny and dime is $0.50 and $5.00 respectively.

As per the currency rules, 1 penny is equal to $0.01. Thus, if value of roll of penny is $0.50, the number of pennies in the roll will be:

$N=\frac{\$0.50}{\$0.01}=50$

Now, 1 dime is equal to $0.1. Thus, if value of roll of dime is $5.00, the number of dime in the roll will be:

$N=\frac{\$5.00}{\$0.1}=50$

Therefore, one roll of pennies contains 50 pennies and one roll of dimes contains 50 dimes.

Also, a mole contains $6.022\times {10}^{23}$ particles. Thus, all of them are same as they specify a constant quantity.

Conclusion

Rolls can be used for counting pennies and dimes are similar to mole because each of them specifies a constant quantity.