Question

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

Answer 1

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"`