I am trying to find a vapor pressure of sublimating ice as a function of thermal energy being absorbed by ice. Basically, I am starting with a sample of ice (t=200K) in a vacuum. From there, I am heating the ice slowly using a heating plate, causing a non-zero vapor pressure of gaseous water to form. Assuming the vacuum will be held (i.e. vapor pressure of water impacts the vacuum negligibly), is it possible to create a relation between the vapor pressure and the thermal power being absorbed by the ice?
The vapour pressure of ice at 200K is very low, as sublimation occurs the ice gets colder due the phase change. Assuming your vacuum is maintained the ice would continue to get cooler. The vapour pressure of the ice is a function of its temperature, the power being absorbed would effect the temperature, you would need to know the size of the ice cube etc.