Chapter 5, Problem 67A

Interpretation Introduction

Interpretation : The number of pills is to be calculated when average mass and sample’s mass is given.

Concept Introduction :

The average mass of the given sample is equal to the ratio of sum of all individual masses to the number of pills, which is given as,

  $m_{avg}=\frac{m_1+m_2+m_3+m_4+\mathrm{.....}{m}_n}{n}$

Answer to Problem 67A

In the given sample there are 24 pills are present.

Explanation of Solution

Given information :

Average mass, $m_{avg}=0.65g$

The total mass of the sample is, $15.6g$

The average mass is calculated as follows:

  $m_{avg}=\frac{m_1+m_2+m_3+m_4+\mathrm{.....}{m}_n}{n}$

Now, if mass of 1 pill is given and total mass of all the pills is given, the number of pills can be calculated as follows:

  $n=\frac{15.6}{0.65}=24\text{pills}$

Conclusion

The number of pills is 24.