Chapter 8.9, Problem 10WE

To determine

To find: the approximate density.

Answer to Problem 10WE

The approximate density is $.890$ .

Explanation of Solution

Given information:

The altitude is $3200\text{m}$ .

Calculation: let density is $x$ ,

Altitude	Density
$3000$	$0.909$
$3200$	$x$
$3500$	$0.863$

Now, the difference,

  $\begin{array}{l}\frac{d}{0.046}=\frac{200}{500}\\ \frac{d}{0.046}=.4\text{ [divide]}\\ d=0.0184\text{ [multiply]}\end{array}$

Now, to find the value of density,

  $\begin{array}{l}x=.909-d\\ x=.909-0.0184\text{ [substitute]}\\ x=.890\text{ [add]}\end{array}$

Thus, The value of density is $.890$ .