Chapter 12, Problem 100CE

(a)

Interpretation Introduction

Interpretation:

Moles of air that would left in balloon has to be determined.

Concept Introduction:

Ideal gas law represented as equation to relate its volume and pressure with its temperature. Expression for ideal gas equation is as follows:

  $PV=nRT$

Here,

$P$ is pressure of the gas.

$V$ is volume of gas.

$n$ denotes moles of gas.

$R$ is gas constant.

$T$ is temperature of gas.

(b)

Interpretation Introduction

Interpretation:

Pressure of balloon at the end of day has to be determined.

Concept Introduction:

Combination of three laws Charles' law, Boyle's law, and Gay-Lussac's law form combine law. This law used to determine change in pressure, volume and temperature if two of them got varied.

Mathematically relation for combined law is as follows:

  $\frac{PV}{T}=k$

Or,

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

Here,

$P_1$ 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.