# What is the density of Freon-11 (CFCl3) at 166 degrees Celsius and 5.92 atm?

Jul 6, 2017

The density of Freon-11 is 22.6 g/L.

#### Explanation:

Freon-11 is a compound with formula ${\text{CFCl}}_{3}$. Its chemical name is trichlorofluoromethane.

We can use the Ideal Gas Law to determine its density.

$\textcolor{b l u e}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} p V = n R T \textcolor{w h i t e}{\frac{a}{a}} |}}} \text{ }$

Since $n = \frac{m}{M}$, we can substitute this to get

$p V = \left(\frac{m}{M}\right) R T$

We can rearrange this to

$p M = \frac{m}{V} R T$

But $\text{density"= "mass"/"volume}$ or color(brown)(bar(ul(|color(white)(a/a)ρ = m/Vcolor(white)(a/a)|)))" "

pM = ρRT

and

color(brown)(bar(ul(|color(white)(a/a)ρ = (pM)/(RT)color(white)(a/a)|)))" "

$p = \text{5.92 atm}$
$M = \text{137.37 g/mol}$
$R = \text{0.082 06 L·atm·K"^"-1""mol"^"-1}$
$T = \text{166 °C" = "439.15 K}$
ρ = (5.92color(red)(cancel(color(black)("atm"))) × 137.37color(white)(l) "g"·color(red)(cancel(color(black)("mol"^"-1"))))/("0.082 06 L"·color(red)(cancel(color(black)("atm·K"^"-1""mol"^"-1"))) × 439.15color(red)(cancel(color(black)("K")))) = "22.6 g/L"