As will be discussed in detail in Chapter 5, the ideal-gas equation of state relates absolute pressure, P(atm); gas volume, V(liters); number of moles of gas, n(mol); and absolute temperature, T(K):

PV = 0.08206nT

(a) Convert the equation to one relating P(psig), V(ft³), n(lb-mole), and T(°F).

(b) A 30.0 mole% CO and 70.0 mole% N₂ gas mixture is stored in a cylinder with a volume of 3.5 ft³ at a temperature of 85°F. The reading on a Bourdon gauge attached to the cylinder is 500 psi. Calculate the total amount of gas (lb-mole) and the mass of CO (lb_m) in the tank.

(c) Approximately to what temperature (°F) would the cylinder have to be heated to increase the gas pressure to 3000 psig, the rated safety limit of the cylinder? (The estimate would only be approximate because the ideal gas equation of state would not be accurate at pressures this high.)