Determination of Lennard Jones potential parameters from diffusivity data of a binary, gas mixture (a) Use the following data 5 for the system H 2 O O 2 at 1atm pressure to determine AB and AB k One way to do this is as follows (i) Plot the data as log (T 3 2 D AB ) versus log T on a thin sheet of graph paper (ii) Plot s AB versus kT AB on a separate sheet of graph paper to the same scale (iii) Superpose the first plot on the second, and from the scales of the two overlapping plots, determine the numerical ratios (T (kT AB )) and ((T 3 2 D AB ) s AB ) (iv) Use these two ratios and Eq 17 3 11 to solve for the two parameters AB and AB K T (K) 900 400 500 600 700 800 1000 1100 DAR (cm s) 0 47 0 69 2 58 2 20 1 22 0 94 1 52 1 85

Question: Determination of Lennard-Jones potential parameters from diffusivity data of a binary, gas mixture (a) Use the following data 5 for the system H 2 O-O

Determination of Lennard-Jones potential parameters from diffusivity data of a binary, gas mixture

(a) Use the following data⁵ for the system H₂O-O₂ at 1atm pressure to determine σ_AB and ε_AB/k:

One way to do this is as follows: (i) Plot the data as log (T^3/2/D_AB) versus log T on a thin sheet of graph paper. (ii) Plot Ωs _AB versus kT/ε_AB on a separate sheet of graph paper to the same scale. (iii) Superpose the first plot on the second, and from the scales of the two overlapping plots, determine the numerical ratios (T/(kT/ε_AB)) and ((T^3/2/D_AB)/Ωs_AB) (iv) Use these two ratios and Eq. 17.3-11 to solve for the two parameters σ_AB and ε_AB/K.

T (K) 900 400 500 600 700 800 1000 1100 DAR (cm²/s) 0.47 0.69 2.58 2.20 1.22 0.94 1.52 1.85

T (K) 900 400 500 600 700 800 1000 1100 DAR (cm/s) 0.47 0.69 2.58 2.20 1.22 0.94 1.52 1.85

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