[neact] Gas law related question
- From: Jerusha Vogel <jj@xxxxxxxx>
- To: neact@xxxxxxxxxxxxx
- Date: Wed, 22 Jul 2009 21:28:59 -0400
I have an interesting question that was posed to me and I would appreciate
some help in figuring it out.
imagine one has a container with a fixed volume (say 1L ) that has been
filled with ½ L of water and hermetically sealed at room temperature and
standard pressure (1atm). then the container is uniformly and slowly heated.
Is there a calculation that could be done to plot the change in pressure of
the gas above the water with increasing temperature up to say 100 deg C? is
the pressure/temperature graph of the gas the same as that of the liquid
(considering one is compressible and the other is not)? is the graph linear
throughout? maybe it is horizontal? what happens after 100C (lets say to 120
degrees C)? is there a point where the water is completely evaporated (is
PV=nRT applicable at this point)?
Obviously we need to figure how the temperature increase will affect the
speed of the gas molecules, how many more gas molecules will be produced as
the water vaporizes, and then how equilibrium will force the reaction
backwards (due to the increased pressure) slowing down how the molecules
being released. PV=nRT might work moderately well at the start, but as we
get higher and higher pressure it becomes less useful and since there would
be different gases (n) involved, I?m not sure what to use for the van der
walls modification.
Do you think there is any way to calculate this or would it have to be done
by experiment only?
Any insight/suggestions on how to solve this problem would be much
appreciated.
Thanks,
Jerusha Vogel
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