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Consider a 5 cm long porous solid material of 35 % porosity and average pore size of 40 is connected between two reservoirs (both at

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Consider a 5 cm long porous solid material of 35 % porosity and average pore size of 40 is connected between two reservoirs (both at 25 C and 2 atm) with their respective CO2 compositions of 0.2 and 0.01. The end (at z = 5 cm) is initially closed with a valve. At time t = 0+, the valve is opened and the diffusion process starts. 2 a. Determine the time it takes to achieve 95 % of the steady state flux. Assume, the tortuosity of the material is 1.2. Step-by-step derivation followed by detail analytical and numerical solution is required. A short-cut answer will be considered inadequate. b. Repeat the derivations and calculation (as you have done in a) for a solid material with converging pores (at z = 0, ro = 20 and at z=L, I1 = 5 ). 2 Consider a 5 cm long porous solid material of 35 % porosity and average pore size of 40 is connected between two reservoirs (both at 25 C and 2 atm) with their respective CO2 compositions of 0.2 and 0.01. The end (at z = 5 cm) is initially closed with a valve. At time t = 0+, the valve is opened and the diffusion process starts. 2 a. Determine the time it takes to achieve 95 % of the steady state flux. Assume, the tortuosity of the material is 1.2. Step-by-step derivation followed by detail analytical and numerical solution is required. A short-cut answer will be considered inadequate. b. Repeat the derivations and calculation (as you have done in a) for a solid material with converging pores (at z = 0, ro = 20 and at z=L, I1 = 5 ). 2

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