Chapter 6, Problem 87A

Interpretation Introduction

Interpretation:

To determine the number of $2.00\text{ L}$ bottles that can be filled with a can of cola.

Concept Introduction :

The assessment of the connection between physical quantities using dimensions and units of measurement is known as dimensional analysis.

Answer to Problem 87A

8 bottles

Explanation of Solution

The volume of one can is $355\text{ mL}$ .

The volume of one bottle is $2.00\text{ L}$ .

No. of can is $24$ .

Total volume of can is,

  $\begin{array}{c}\text{total can volume}=355\text{ mL}\times \text{24}\\ \text{=16,920 mL}\end{array}$

Convert $\text{16,920 mL}$ to L as follows:

  $\begin{array}{c}\text{total can volume}=\text{16,920 mL}\times \frac{1\text{ L}}{{10}^{-3}\text{ mL}}\\ \text{=16}\text{.9 L}\end{array}$

Now, calculate no. of bottle can be filled as,

  $\begin{array}{c}\text{No}\text{. of bottle}=\frac{16.9\text{ L}}{2.00\text{L}/\text{bottle}}\\ =8.45\text{ bottle}\\ \text{=8 bottle}\end{array}$

Thus, total 8 bottles can be filled from 24 can of cola.