Chapter 5, Problem 109E

Interpretation Introduction

Interpretation:Volume of $1.0\text{ L}$ air ataltitude of $15\text{ km}$ is to be calculated.

Concept introduction:Ideal gas law is used to represent hypothetical gas to relate its volume, pressure, and temperature. Expression for ideal gas equation is as follows:

  $PV=nRT$

Where,

• $P$ is pressure of the gas.
• $V$ is volume of gas.
• $n$ denotes moles of gas.
• $R$ is gas constant.
• $T$ is temperature of gas.

Mathematically relation for combined law is as follows:

  $\frac{PV}{T}=k$

Or,

  $\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

Where,

• $P_1$ is initial pressure.
• $P_2$ is final pressure.
• $T_1$ is initial temperature.
• $T_2$ is final temperature.
• $V_1$ is initial volume.
• $V_2$ is final volume.