Consider a metal sheet that is 2 mm thick and has an area of 500 cm2...

 

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Consider a metal sheet that is 2 mm thick and has an area of 500 cm2 separating two chambers containing different gas atmospheres. One chamber contains a 1:9 nitrogen/argon mixture, and the other contains pure argon. The total pressure at both sides of the metal sheet is 1 atm. The metal is at a temperature of 1,000°C. At this temperature and at a partial pressure of nitrogen of 1 atm, the solubility of nitrogen atoms is 2×10-6 mol/cm3. It has been found that the number of moles of nitrogen molecules leaking from the nitrogen/argon mixture through the metal sheet denoted above into the pure argon atmosphere is 1×10-4 mol/hour. The partial pressure of N2 in the pure argon atmosphere is all the time practically zero. Assume that the diffusion coefficient of nitrogen atoms diffusing through the metal sheet is independent of the nitrogen concentration in the metal sheet. What is the concentration of nitrogen dissolved in the metal in equilibrium with the chamber containing the 1:9 nitrogen/argon mixture in units of 10-8 mol/cm3? What is the diffusion coefficient of nitrogen atoms in the metal at 1,000°C in units of 10-6 cm2/s? Consider a metal sheet that is 2 mm thick and has an area of 500 cm2 separating two chambers containing different gas atmospheres. One chamber contains a 1:9 nitrogen/argon mixture, and the other contains pure argon. The total pressure at both sides of the metal sheet is 1 atm. The metal is at a temperature of 1,000°C. At this temperature and at a partial pressure of nitrogen of 1 atm, the solubility of nitrogen atoms is 2×10-6 mol/cm3. It has been found that the number of moles of nitrogen molecules leaking from the nitrogen/argon mixture through the metal sheet denoted above into the pure argon atmosphere is 1×10-4 mol/hour. The partial pressure of N2 in the pure argon atmosphere is all the time practically zero. Assume that the diffusion coefficient of nitrogen atoms diffusing through the metal sheet is independent of the nitrogen concentration in the metal sheet. What is the concentration of nitrogen dissolved in the metal in equilibrium with the chamber containing the 1:9 nitrogen/argon mixture in units of 10-8 mol/cm3? What is the diffusion coefficient of nitrogen atoms in the metal at 1,000°C in units of 10-6 cm2/s?

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To find the concentration of nitrogen dissolved in the metal in equilibrium with the chamber containing the 19 nitrogenargon mixture we can use Ficks ... View the full answer