Chapter 8.6, Problem 50SR

a.

To determine

To find: The pressure for $2,4$ and $7$ kilometers.

Answer to Problem 50SR

The pressure for $2,4$ and $7$ kilometers is $0.75\text{ bar}$ , $0.56\text{ bar}$ and $0.367\text{ bar}$ .

Explanation of Solution

Given information: The atmospheric pressure P , in bars, of a given height on Earth is given by using the formula $P=a·e^{\frac{-k}{H}}$ .In the formula, a is the surface pressure on Earth, which is approximately $1$ bar, k is the altitude for which you want to find the pressure in kilometers, and H is always $7$ kilometers.

Formula used: The atmospheric pressure P , in bars, of a given height on Earth is given by using the formula $P=a·e^{\frac{-k}{H}}$ .

Calculation:

The atmospheric pressure P , in bars, of a given height on Earth is given by using the formula $P=a·e^{\frac{-k}{H}}$ .In the formula, a is the surface pressure on Earth, which is approximately $1$ bar, k is the altitude for which you want to find the pressure in kilometers, and H is always $7$ kilometers.

For $2$ kilometers

  $\begin{array}{l}P=e^{\frac{-2}{7}}\text{ bar}\\ P=0.75\text{ bar}\end{array}$

For $4$ kilometers

  $\begin{array}{l}P=e^{\frac{-4}{7}}\text{ bar}\\ P=0.56\text{ bar}\end{array}$

For $7$ kilometers

  $\begin{array}{l}P=e^{\frac{-7}{7}}\text{ bar}\\ P=0.367\text{ bar}\end{array}$

b.

To determine

To find: Pressure when altitude increase.

Answer to Problem 50SR

atmospheric pressure P , decreases with increasing altitude.

Explanation of Solution

Given information: The atmospheric pressure P , in bars, of a given height on Earth is given by using the formula $P=a·e^{\frac{-k}{H}}$ .In the formula, a is the surface pressure on Earth, which is approximately $1$ bar, k is the altitude for which you want to find the pressure in kilometers, and H is always $7$ kilometers.

atmospheric pressure P , decreases with increasing altitude.