Data: 0 K = 273.15 ^oC. SATP corresponds to a temperature of 298.15 K and a pressure of 1 bar. The molar volume of a gas, V_m, at SATP is 24.8 dm³ mol^-1. A_r(C) = 12.0; A_r(O) = 16.0; A_r(H) = 1.0.

a) Outline four assumptions of the kinetic molecular theory of ideal gases.

b) How does the kinetic theory account for Boyles law?

c) i) A student adds 4 g of dry ice (solid CO₂) to an empty balloon. What will be the volume of the balloon at SATP after all the dry ice sublimes?

ii) If the balloon were to reach the summit of Mount Everest, where the pressure and temperature are 0.3 bar and 45 ^oC respectively, what would be its volume?

d) Concentrated hydrogen peroxide solutions are explosively decomposed by traces of transition metal ions (such as Mn or Fe):

2 H₂O₂(aq) 2 H₂O(l) + O₂(g)

What volume of O₂(g), collected at SATP, would be generated by the decomposition of 125 g of a 50.0% by mass hydrogen peroxide solution?