Chapter 10, Problem 4SEPP

Interpretation Introduction

Interpretation:

If Mozart’s lifespan was exactly $35\text{ years}$, the number of molecules he exhaled in thatperiod is to be calculated.

Concept introduction:

An ideal gas can be characterized by three state variables such as absolute pressure $P$, volume $V$, and absolute temperature $T$. The relation between them canbe deduced from kinetic theory, called the ideal gas equation.

The idealgas equation is represented as follows:

$PV=n\text{R}T$

Here, $P$ is the pressure, $V$ is the volume, $\text{R}$ $\left(0.0821\text{ L}\text{.atm/K}\text{.mol}\right)$ is the gas constant, $T$ is the temperature, and $n$ is the number of moles.

The number of molecules in $1\text{ mol}$ is calculated as follows:

$1\text{ mol}=\text{6}\text{.022}\times {\text{10}}^{23}\text{ molecules}$