Asked by mangozier
                Tricky one- my math fails here
(a) A pressure vessel contains a large volume of CO2 gas at 10 atm pressure. A membrane composed of a poly(ether ketone) polymer with thickness 100 microns and net effective area of 100 cm2 covers a small perforated port in the container. The solubility of CO2 at 10 atm is 6.97 x 10-4 moles/cm3 at 35 ∘C. The diffusivity of CO2 in the polymer is known to be 2.29 x 10-8 cm2/s at this temperature. How long will it take for 0.001 moles of CO2 to leak from the container at steady-state? Assume that the amount of carbon dioxide in the surroundings is insignificant. Express your answer in hours
(b) If the diffusivity is observed to double when the temperature is increased by 10 degrees C, what is the activation energy for diffusion? Express your answer in units of eV.
            
        (a) A pressure vessel contains a large volume of CO2 gas at 10 atm pressure. A membrane composed of a poly(ether ketone) polymer with thickness 100 microns and net effective area of 100 cm2 covers a small perforated port in the container. The solubility of CO2 at 10 atm is 6.97 x 10-4 moles/cm3 at 35 ∘C. The diffusivity of CO2 in the polymer is known to be 2.29 x 10-8 cm2/s at this temperature. How long will it take for 0.001 moles of CO2 to leak from the container at steady-state? Assume that the amount of carbon dioxide in the surroundings is insignificant. Express your answer in hours
(b) If the diffusivity is observed to double when the temperature is increased by 10 degrees C, what is the activation energy for diffusion? Express your answer in units of eV.
Answers
                    Answered by
            alq7
            
    I have no idea =/
    
                    Answered by
            someguy
            
    a) 1.74 
    
                    Answered by
            Anonymous
            
    how about b
    
                    Answered by
            lana
            
    I've got 1.14*10^19 applying known formula D=D0*exp[−EA/RT]but it's wrong. Who can write a formula for b?
    
                    Answered by
            Anonymous
            
    You have a ratio: D1/D2=1/2 and you know T1 and T2, use it.
    
                    Answered by
            an
            
    39.2 b
    
                    Answered by
            Anonymous
            
    Don't forget to convert your answer in eV 
    
                    Answered by
            martin
            
    39.2 is wrong answer. could you please help for the answer of b
    
                    Answered by
            qpt
            
    same here had 39.2 as the wrong answer. 
    
                    Answered by
            martin
            
    1ev= 1.69*10^-19 J
    
                    Answered by
            Anonymous
            
    You have a formula D=D0*exp[−EA/kT], you have a ratio D1/D2=1/2 and values of temperatures. Express EA and answer is yours.
    
                    Answered by
            lana
            
    I multiply the Ea in 0.001 mole as the value is in j/moles. Still I don't get and  how we apply two temparatures there?
    
                    Answered by
            Chemical Engineer
            
    Stop cheating
after the end of exam period i will tell you the answer
    
after the end of exam period i will tell you the answer
                    Answered by
            Anonymous
            
    You have a formula for D1 and for D2, you have a ratio D1/D2=1/2, further only answer)
    
                    Answered by
            someguy
            
    0.551
    
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