(a) The density of a gas can be calculated using p = RT/M . Derive this equation using pV = nRT where p = pressure, V = volume, n = moles, T = temperature, R = gas constant, = density, M = molar mass (See Reader).

(b) Calculate the density of air at 150 oC and atmospheric pressure assuming a composition (by volume) of 21% oxygen (O2), 78.03% nitrogen (N2) and 0.97% argon (Ar).

(c) Calculate the concentration of O2 in air (mol/m3) at 150oC and atmospheric pressure.

(d) Convert an air flow rate of 150 m3 per hour to the

(i) mass flow rate,

(ii) weight flow rate, and

(iii) oxygen mole flow rate.

(e) Calculate the average velocity of air flow described in section (c) through a pipe of internal diameter 4 mm.

Can you please answer these with explnations for how the answer was found?