Chapter 8.9, Problem 12WE

To determine

To find: the approximate density.

Answer to Problem 12WE

The approximate density is $1.187$ .

Explanation of Solution

Given information:

The altitude is $320\text{m}$ .

Calculation: let density is $x$ ,

Altitude	Density
$0$	$1.225$
$320$	$x$
$500$	$1.167$

Now, the difference,

  $\begin{array}{l}\frac{d}{0.058}=\frac{320}{500}\\ \frac{d}{0.058}=.64\text{ [divide]}\\ d=0.0371\text{ [multiply]}\end{array}$

Now, to find the value of density,

  $\begin{array}{l}x=1.225-d\\ x=1.225-0.0371\text{ [substitute]}\\ x=1.187\text{ [add]}\end{array}$

Thus, The value of density is $1.187$ .