1. Insulating glass (IG), more commonly known as double glazing (or double-pane, and increasingly triple glazing/pane), consists of two or three glass window panes separated by a vacuum or gas filled space to improve energy efficiency of the building. The most common insulating gas is argon. (a) Calculate the thermal conductivity of argon (at 300 K and 1.0 mbar, = 0.36 nm). (b) In a double-glazed window, the panes of glass are separated by 5.0 cm. What is the rate of transfer of heat by conduction from warm room (25 C) to the cold exterior (- 5 C) through a window of area 2.0 m? What power of heater is required to make good the loss of heat? (c) Compare energy performance between argon-insulated windows and air-insulated (assume N only and = 0.43 nm2) ones. Justify/explain your results. 2. To pol 3) A reaction 2A P follows a reaction law v = k[A]m with kr = 2.15 10-4 dm mol s-1. (a) Determine the order of reaction m based on the unit of kr; (b) Derive the integrated rate law of reaction; (c) Calculate the half-life of A if the initial concentration of A is 0.750 mol dm. 3.) A gas-phase decomposition of 2 N2O5(g) 4 NO2(g) + O2(g) takes places in a constant volume container at a constant temperature of 67 C. The rate law can be expressed as v = kr [N205]m When a certain amount of N2O5(g) is added into a container at the beginning, the initial pressure reading is 27.9 torr. The pressure in the container rises to 40.2 torr after 1 minute and it rises to 59.5 torr after 4 minutes. (a) What is the mole fraction of reacted N2O5(g), a, after 1 min and 4 min? (b) If the reaction rates at 1 min and 4 min are 9.71 torr/s and 3.37 torr/s, determine the order of the reaction. (c) What is the rate constant of this reaction? What is its unit? 4. 3) A particle with mass m is in a one-dimensional box with two walls at x = -L/2 and x= L/2. The wavefunction of the particle can be described as COS (Nzx) n = 1,3,5,... 4n(x) = 2 in ("ZX) n = 2,4,6,... (a) Plot the probability density functions for the states at n = 2 and 3. On the graphs you plot, highlight the probabilities of finding the particle from 0 to L/4 for these two states. (b) Calculate the probabilities mentioned in (a) by either analytical or numerical method.