3.1 Thermodynamic Systems

Consider these scenarios and state whether work is done by the system on the environment (SE) or by the environment on the system (ES): (a) opening a carbonated beverage; (b) filling a flat tire; (c) a sealed empty gas can expands on a hot day, bowing out the walls.

A gas follows $p V = b p + c_{T}$ on an isothermal curve, where p is the pressure, V is the volume, b is a constant, and c is a function of temperature. If c can be determined from the measurement of a single other thermodynamic parameter, it establishes a temperature scale for this gas. Show that a temperature scale under an isochoric process can be established with this gas, with pressure being the measured param…

Find the isobaric expansion coefficient $d V / d T$ and the isothermal pressure-volume coefficient $d V / d P$ of a solid that has equation of state $V + b p T – c T^{2} = 0$.