Question

You want to test whether it is possible to purify hydrogen from a gas stream mixture of hydrogen and nitrogen (HN2) using a sheet of iron (Fe) asa filter. The diffusion coefficients for H2 and Nz in Fe are: (iv) o,(n'',)-40-10'er(-15.0 RT-) Ds)-25.10 exp-. JI mol 24.0 kJmol RT Here, the gas constant R-8.314 J/K mol. At which temperature, Te, the diffusion coefficients for H2 and N2 are equal? (3 marks) Note: Question 1 continues on page 7 MA1002 (v) If you want to purify H, what temperature range should you consider? Explain your reasoning using the numerical values given in the expressions for the two diffusion coefficients in (iv), [refer to page 6 4 marks)

Answer 1

Here you go:

Let us assume the temperature be T_e As T_e, D_H = D_N therefore 4.0 times 10^-7 e^-15.0 KJ/mol/R T_e = 2.5 times 10^-6 e^-24 KJ/mol/R T_e 0.16 times e^-15000/8.314 T_e = e^-24000/8.314 T_e or -1.832 - 15000/8.314 T_e = -24000/8.314 T_e or -1.832 = 15000 - 24000/8.314 T_e or T_e = 590.89 K = 317.89 degree C

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