hi. I have a question that I posted here: http://physics.stackexchange.com/questions/75094/pressure-change-of-water-heated-in-sealed-vessel Should I re-enter it here, or is the link enough?
I'll just paste your question here, for convenience. \(\huge\sf \color{orange}{The\ Question:}\) "I have a question regarding the relationship between temperature and pressure of water: •In a room (at one atmosphere of pressure, 20 C temp) water is added to a vessel until it is full, and then the vessel is sealed. •The vessel and the water are both at 20 degrees C •The vessel includes a pressure gauge (exposed to the water), which reads 0 psi •The water has no gasses in solution •The vessel contains no gasses Now, heat is applied to the vessel until it reaches a temperature of 101 degrees C. Question: what does the pressure gauge read? By what technique can one calculate what pressure the gauge now reads?"
Now, I think you want to loo at the vapor pressure of water at \(101^\circ\text C\). But I'm not sure if that applies when the container is small.. I learned about vapor pressure in chemistry. So if you don't get many responses in the physics section, maybe you can check with the chemistry section! Best of luck to you!
Actually - and it makes sense - the closed container is necessary for an easier model. http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/vappre.html That link also has a table of values for water, and there's a value at \(104^\circ\text C\). Anyway... Neglecting gravity, the vapor pressure would also be the water pressure, since the pressure will be distributed equally throughout the container.
If you need math, Wikipedia might help! http://en.wikipedia.org/wiki/Vapour_pressure_of_water
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