Question

Hydrogen in a fixed volume box placed in a heat bath will eventually io nize. At any one time you will have 3 particles in the box. Assuming a fixed number of protons and electrons, write an expression for Helmholtz free energy as a function of 7, V.NH, lingt, at- and any necessary constants. You may treat each constituent as an ideal gas. Hints: You will need this form of Sackur-Tetrode (although you'll need to account for mixed state entropy) S = NK « [L-(+) + Thermal de Broglie wavelengthsgiven by 2x MKT The number densities na-= N. V And your answer should involve ionization potential or hydrogen R 13.6 eV.

Answer 1