The document discusses how the Lynx X-ray observatory's high angular resolution, large effective area, and high spectral resolution would allow for detailed studies of the physics of hot baryons in galaxy clusters and galaxies. Mock observations using simulation tools show Lynx could map gas structures at small scales, detect pressure discontinuities like shocks, and observe velocity fields with higher precision than current instruments. The capabilities would provide new insights into gas properties in clusters and halos of galaxies.