Chapter 5.4, Problem 5.8AFP

Interpretation Introduction

Interpretation:

The density of ${\text{CO}}_{\text{2}}$ at $0°\text{C}$ and $380\text{torr}$ with its density at STP is to be compared.

Concept introduction:

Ideal gas law equation is as follows:

$PV=nRT$        (1)

Here,

$P$ is the pressure of the gas.

$V$ is the volume occupied by gas.

$n$ is the no. of moles of gas.

$T$ is the temperature in Kelvin.

$R$ is the universal gas constant.

The formula to calculate no. of moles is as follows:

$n=\frac{\text{weight}\left(m\right)}{\text{molecular}\text{weight}\left(M\right)}$

The ideal gas equation can be written as follows:

$PV=\frac{mRT}{M}$

The formula to calculate density is:

$\text{Density}=\frac{m}{V}$

The ideal gas equation can be rearranged for density as follows:

$\text{Density}=\frac{PM}{RT}$        (2)

At STP the pressure is equal to $\text{1}\text{atm}$ and the temperature is equal to $\text{273}\text{K}$.

The conversion factor to convert $\text{torr}$ to $\text{atm}$ is as follows:

$\text{760}\text{torr}=\text{1}\text{atm}$