# Finding the original pressure, thermodynamics

1. Sep 15, 2018

### jweie29nh

1. The problem statement, all variables and given/known data
Freon 12 is contained in a sealed glass container at 50°C. As it is cooled, vapor droplets arc noted
condensing on the sidewalls at 20°C. Find the original pressure in the container.

2. Relevant equations

3. The attempt at a solution
Looking at the Freon 12 table I subtracted the given pressures from 50 degrees and 20 degrees to get 652 kpa. I'm pretty sure the this is an appropriate solution. More likely there is another approach to solving this problem.

2. Sep 16, 2018

At $T=50^{\circ}$ C , it is all vaporized so the pressure is less than the vapor pressure at that temperature. I'm presuming at $T=21^{\circ}$ C there still were no droplets forming. Would not the approximate answer be the vapor pressure at $T=20^{\circ}$ C which is $P=566$ kPa, or just slightly more than this? $\\$ As Homework Helpers we are not supposed to supply the answer, but this one involves an interpretation, and I think it has a very simple answer, but the OP still needs to determine if what I have proposed is indeed correct. $\\$ See also: https://edisciplinas.usp.br/pluginfile.php/283793/mod_resource/content/2/R12 Properties.pdf $\\$ And meanwhile, I think the solution that you have proposed is incorrect. The first temperature they chose to present could have been any temperature above $T=20^{\circ}$ C , including $T=21^{\circ}$ C . Taking $P(21^{\circ} \, C)-P(20^{\circ} \, C)$ would be incorrect.

Last edited: Sep 16, 2018
3. Sep 17, 2018

### Staff: Mentor

If the vapor pressure of an ideal gas is 566 kPa at 20 C, what is the pressure of the gas at 50 C (assuming the volume is constant)?

4. Sep 17, 2018