Chapter 3, Problem 6STP

Interpretation Introduction

Interpretation : The number of deciliters of water that will fill a 0.5-L bottle is to be calculated.

Concept Introduction : The dimensional analysis is an effective approach for solving conversion issues where measurement in one unit is changed to an equivalent measurement in another.

Answer to Problem 6STP

The answer in deciliters of water is $5\text{dL}$ .

Explanation of Solution

The known liters of water is $0.5\text{L}$ .

The unknown is liters of water in $\text{dL}$ .

It is known that $\text{1}\text{L}\text{=}\text{10}\text{dL}$ .

To convert the liter into a deciliter, the unit conversion has to be done.

  $\begin{array}{c}0.5\text{L}\text{=}\text{0}\text{.5}\cancel{\text{L}}\times \frac{10\text{dL}}{1\cancel{\text{L}}}\\ =5\text{dL}\end{array}$