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# 503hw1 - Solutions to Homework#1 Problem#1(Similar problem...

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Solutions to Homework #1 Problem #1. (Similar problem with a different geometry was solved in example 1(problem 1), so I will try to make it short) Assuming steady state condition, we can calculate the total flux(in moles/sec) of hydrogen through the surface of spherical tank as, J D r dc dr dc dr M p Fe total H = - - - .( ). .( / ). . . 4 2 0 10 5 1 0 01 2 π ρ where 'p' is pressure of hydrogen in the tank in MPa, 'M' is the molecular weight of hydrogen in gm/mole, ' ρ ' is the density of iron in g/cm 3 , 'r' is the inner radius of the spherical tank. Flux out of the tank (in moles/sec) is same as rate of loss of hydrogen (in moles) from the tank. Assuming ideal gas behavior for hydrogen, PV = nRT J dn dt V RT dP dt total = = If we use proper units for 'R' and 'V', then dP/dt is approx. 650 Pa/s. Problem #2. The quantity 'a' in counts/s/mg is a measure of tracer concentration in different sections. Plot ln a (logarithm to the base e) vs. x 2 in cm 2 and fit a least square linear line to the data. The slope of the linear fit is (-1/4Dt). Knowing that t=20hr, we can find the diffusion coefficient.

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