Answer Happy

1 To measure the mass of a granular material, like sand or sugar, an unknown quantity of the material is placed in a container sealed from the surroundings by a piston. The air pressure in the container is measured to be P₁ and P₂ when the total volume of air and the granular material is V₁ and V2, respectively. Both measurements are conducted at the same temperature and you can treat air as an ideal gas. Determine the mass of the granular material if its density is p. 2 a) Starting from the Gibbs free energy, show that (3) p = − (35), where P, V, T, and S are the pressure, volume, temperature, and entropy, respectively. P [2] b) The internal energy of a photon gas confined to a volume V at temperature T is given by U = aT4V, where a is a positive constant. Derive an equation relating V and T in an adiabatic and reversible process. [3] [5]