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

1 Answer
Jul 6, 2017

Answer:

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

Explanation:

Freon-11 is a compound with formula #"CFCl"_3#. Its chemical name is trichlorofluoromethane.

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

#color(blue)(bar(ul(|color(white)(a/a)pV = nRTcolor(white)(a/a)|)))" "#

Since #n = m/M#, we can substitute this to get

#pV = (m/M)RT#

We can rearrange this to

#pM = m/VRT#

But #"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)|)))" "#

In your problem,

#p = "5.92 atm"#
#M = "137.37 g/mol"#
#R = "0.082 06 L·atm·K"^"-1""mol"^"-1"#
#T = "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"#