Homework 5: Gas Permeability Name: Darcy's Law for Gas Permeability Measurements p' form (for gases, esp. at low p): (go at some p base,

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Homework 5: Gas PermeabilityName:Darcy's Law for Gas Permeability Measurementsp' form (for gases, esp. at low p):(go at some p "base", P. .KA (p? - P2Usually, P2 =1 atm = P.qb2ul Pband q, is usually measured at pz =1 atm = Ppq form (for gases, esp. at low p):( q evaluated at P = Pavg =(P1+ p2)/2)q = Ka (p, - P2)Note:q . P =q. Ps, thus q =q. P./PAll of these forms require a suitable conversion constant unless Darcy units are used1. Briefly explain why the liquid form of Darcy's law does not work for gases (esp. at low pressures). Hint:What is the definition of q? Is q constant for a gas throughout the core? Why or why not? If q is not constant,what is constant for a gas throughout the core? At high pressures, e.g. at pi = 3000 psi and p2 = 2900 psi, whatpercent will q change from the inlet to the outlet of the core? (Use the back or other paper if you need moreroom.)2. Given the following lab data for an air permeability measurement test (A = 3.2 cm?, L = 2.8 cm, (calculate Hfrom the correlation below, lab temp = 70 F), pi = 4 atm, p2 = 1 atm, flow of 945 cm' of air (at 1 atm at 60 F)in 3 minutes), determine the core's permeability in this direction using:(a) The q bar (at p) equation [ 11.0 md ](b) The p' equation [ 11.0 md ]For air viscosity, use correlation of Mason and Monchick (1965):Hair =(1717 + 4.8T)x10's cp (where T is in *C)