a) Write down the state equation of an ideal gas. This equationcan be utilized to derive any one of the macroscopic thermodynamicproperties, p1, T1, or V1, of an ideal gas in state “1†when theother two properties and the gas’ conditions at some initial state“0†are known.
b) What is the ideal gas law? Express the law separately interms of the amount of substance, the gas’ molar mass, the gas’molar volume, and the gas’ number of particles (4 equations!).
c) When we divide the universal gas constant by Avogadro’sconstant we obtain a new constant. What is this constant’s name?Derive its value and proper unit.
d) State Newton’s Law of Cooling and name all properties in thecorresponding equation.
e) For most thermodynamic problems we use some standarddefinitions for pressure and temperature to which we relate ourcalculations. A popular choice is a standard air pressure of 1atm =101325Pa at sea level and a temperature of T = 288.15K (or ϑ =25°C), BUT there are many other standards in use! What is thebarometric elevation equation which allows you to approximate theair pressure at an arbitrary height (idealized!)?
