Langmuir’s adsorption isotherm is a little bit of statistical mechanics that, given my understanding of what you know already, I think you’d find really easy to understand. Undergrad classes derive it nowadays.
If it’s counterfactual, it would have to be due to spurning some development of statistical mechanics, because after some of the basics were developed someone would’ve derived it. I think it was actually a homework problem! All you have to do is consider a two state system (gas molecule attached to substrate/not attached), then use the grand partition function (the chemical potential, case of the partition function), then substitute a term for the value it has for an ideal gas. You’ll then get something that tells you the fraction of the substrate that will have an attached gas molecule. A neat application is hemoglobin and myoglobin attaching oxygen gas.
For a reference, see Chapter 5 Page 140-143 of Kittel’s “Thermal Physics”, a standard book on undergrad level statistical mechanics.
Langmuir’s adsorption isotherm is a little bit of statistical mechanics that, given my understanding of what you know already, I think you’d find really easy to understand. Undergrad classes derive it nowadays.
If it’s counterfactual, it would have to be due to spurning some development of statistical mechanics, because after some of the basics were developed someone would’ve derived it. I think it was actually a homework problem! All you have to do is consider a two state system (gas molecule attached to substrate/not attached), then use the grand partition function (the chemical potential, case of the partition function), then substitute a term for the value it has for an ideal gas. You’ll then get something that tells you the fraction of the substrate that will have an attached gas molecule. A neat application is hemoglobin and myoglobin attaching oxygen gas.
For a reference, see Chapter 5 Page 140-143 of Kittel’s “Thermal Physics”, a standard book on undergrad level statistical mechanics.