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11 Nov 2019
a. Provide the general equation that relates gas-phase diffusivity to gas velocity and mean-free path 4. b. Define mean free path and give the equation relating mean-free path to temperature, pressure, and molecule size. c. Define the root-mean-square gas velocity and give an equation which shows how it depends on temperature and molecular weight. d. Sketch curves showing the distribution of velocities for gas molecules at two temperatures, T1 and T2 (T2>T). Indicate Voms on both curves. e. Combine the equations for mean-free path and root-mean squared velocity to arrive at the general equation describing how gas-phase diffusivity depends on temperature and pressure. A simplified formula for calculating gas-diffusivity is: 1 T2 Dgas = 1.61x10-3 where T is in Kelvin, P is in atm, d is in A, and M is in g/mol. Derive how the pre-factor of 1.61x103 is obtained. Clearly show all your work.
a. Provide the general equation that relates gas-phase diffusivity to gas velocity and mean-free path 4. b. Define mean free path and give the equation relating mean-free path to temperature, pressure, and molecule size. c. Define the root-mean-square gas velocity and give an equation which shows how it depends on temperature and molecular weight. d. Sketch curves showing the distribution of velocities for gas molecules at two temperatures, T1 and T2 (T2>T). Indicate Voms on both curves. e. Combine the equations for mean-free path and root-mean squared velocity to arrive at the general equation describing how gas-phase diffusivity depends on temperature and pressure. A simplified formula for calculating gas-diffusivity is: 1 T2 Dgas = 1.61x10-3 where T is in Kelvin, P is in atm, d is in A, and M is in g/mol. Derive how the pre-factor of 1.61x103 is obtained. Clearly show all your work.
Jamar FerryLv2
9 Oct 2019