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Chemistry / How can I find the optimum ΔH and ΔS for passive T control?
« on: 24/05/2022 18:32:34 »
This question is inspired by thinking about passive temperature control.
Please, don’t sidetrack this discussion with comments about alternative technologies, or putting on a sweater, or the pros/cons of a certain temperature, or anything about climate change. I want to keep the discussion focused on the chemistry/physics/engineering/math of optimizing a system as described in the next post (the remainder of this post is all background info pertaining to how I got to the question at hand—feel free to skip ahead)
A significant portion of our society’s energy usage goes towards heating and cooling our homes and places of business. There are many ways of passively controlling temperature inside building including insulation and reflective vs light-absorbing exteriors etc. But I want to focus this thread on materials/systems that have a mediating influence on temperature by virtue of their heat capacity (I believe “thermal mass” is the term used by architects).
Some substances have an extremely high heat capacity per unit volume. For example, liquid water; coming in at about 4.2 kJ•L–1 •K–1, with some minor variation across its liquid range. But this pales in comparison to the incredible latent heat of a phase change.
For example, t-butanol melts/freezes at 298 K (25 °C, or 77 °F), and has a latent heat of fusion of about 116 kJ•L–1 •K–1. Any room at equilibrium with a bottle of t-butanol would have a significant “thermal mass” crossing 298 K (25 °C, or 77 °F). A sufficiently large bottle of liquid t-butanol, with sufficiently fast heat exchange to the room would effectively prevent the room from dropping below 25 °C. Likewise, if the t-butanol were solid, the room could be held below this temperature. If you want a different temperature, you can pick a different substance, which will have a different melting point (and different latent heat of fusion)
The problem with this approach (ignoring issues specific to the substance of choice), is that it only works for a single temperature (very narrow temperature range). It probably wouldn’t be economically feasible to have such a large reservoir of this substance with heat exchangers etc. necessary to keep a room (or building) at a single temperature. And if the temperature at any point drifted far from the melting point, then the thermal mass of the substance would be very small compared to the latent heat of fusion.
One possible solution (no pun intended) would be to have a few different reservoirs containing different substances, with different critical temperatures. For example dmso melts at 19 °C (66 °F). So one could imagine a room that is kept between 19 °C and 25 °C with one reservoir of t-butanol and one of dmso. Or one could imagine using only one solvent, but with two (or more) reservoirs with different amounts of solute, resulting in slightly different melting points (by virtue of colligative properties).
Please, don’t sidetrack this discussion with comments about alternative technologies, or putting on a sweater, or the pros/cons of a certain temperature, or anything about climate change. I want to keep the discussion focused on the chemistry/physics/engineering/math of optimizing a system as described in the next post (the remainder of this post is all background info pertaining to how I got to the question at hand—feel free to skip ahead)
A significant portion of our society’s energy usage goes towards heating and cooling our homes and places of business. There are many ways of passively controlling temperature inside building including insulation and reflective vs light-absorbing exteriors etc. But I want to focus this thread on materials/systems that have a mediating influence on temperature by virtue of their heat capacity (I believe “thermal mass” is the term used by architects).
Some substances have an extremely high heat capacity per unit volume. For example, liquid water; coming in at about 4.2 kJ•L–1 •K–1, with some minor variation across its liquid range. But this pales in comparison to the incredible latent heat of a phase change.
For example, t-butanol melts/freezes at 298 K (25 °C, or 77 °F), and has a latent heat of fusion of about 116 kJ•L–1 •K–1. Any room at equilibrium with a bottle of t-butanol would have a significant “thermal mass” crossing 298 K (25 °C, or 77 °F). A sufficiently large bottle of liquid t-butanol, with sufficiently fast heat exchange to the room would effectively prevent the room from dropping below 25 °C. Likewise, if the t-butanol were solid, the room could be held below this temperature. If you want a different temperature, you can pick a different substance, which will have a different melting point (and different latent heat of fusion)
The problem with this approach (ignoring issues specific to the substance of choice), is that it only works for a single temperature (very narrow temperature range). It probably wouldn’t be economically feasible to have such a large reservoir of this substance with heat exchangers etc. necessary to keep a room (or building) at a single temperature. And if the temperature at any point drifted far from the melting point, then the thermal mass of the substance would be very small compared to the latent heat of fusion.
One possible solution (no pun intended) would be to have a few different reservoirs containing different substances, with different critical temperatures. For example dmso melts at 19 °C (66 °F). So one could imagine a room that is kept between 19 °C and 25 °C with one reservoir of t-butanol and one of dmso. Or one could imagine using only one solvent, but with two (or more) reservoirs with different amounts of solute, resulting in slightly different melting points (by virtue of colligative properties).