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                                                Aditya answered this                                                                                                                               8th Edition         11th Edition
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                                                Hi
                                                We can consider the given deactivation of pores in the following manner
                                                P --BP
                                                Here P is pore and BP is the blocked pore.
                                                                                                                                                                                                   Unit...
                                                We can see in that part 1 that the unit of the decay constant is given as S^-1 .                                                                   7th Edition
                                                                                                                                                                                                  View all solutions
                                                We know that for a nth order reaction the unit of the rate constant is given by
                                                (S^-1)*M^(1-n)
                                                Since, the molarity term is not appearing, we can say that n=1 .
                                                So the rate of disappearance of Pores                                                                                                            Top Chegg tutors who can
                                                -dp/dt = K*P
                                                Here P is the concentration of P at any time
                                                                                                                                                                                                 help right now
                                                -dp/P = kdt
                                                Integrating between time t=t1 , P1 and time =t2 and pressure P2 gives                                                                                               Omar M.
                                                                                                                                                                                                                                                         61
                                                ln(P2/P1) = -K(t2-t1) equation 1                                                                                                                                    University of Pennsy…
                                                We can take any two data points and then substitute the values in the above equation.
                                                                                                                                                                                                                    Erin S.
                                                For simplicity I am taking rst two data points                                                                                                                      Yale University
                                                                                                                                                                                                                                                          1
                                                P2 = 4.23*10^9 /m3
                                                P1 =8.5*10^10 /me                                                                                                                                                   Lorenzo L.
                                                                                                                                                                                                                                                          4
                                                t1 = 0 S                                                                                                                                                            Columbia University
                                                t2 = 300 S
                                                ln(0.423/8.5)=-k*300                                                                                                                                             Find me a tutor
                                                K= 0.01 S^-1 .
                                                Part b and C
                                                At t=40 minutes we can use the equation 1 with the following values.
                                                P2=unknown
                                                P1 =8.5*10^10 /m^3
                                                t1=0
                                                t2 = 40*60=2400 S
                                                ln(P2/8.5*10^10)= - 0.01*2400=24
                                                P2=3.20/m^3
                                                Inactivation factor is nothing but the fraction of pores inactivated.
                                                This can be written as = 1 - fraction of pores survived
                                                = 1-3.2/8.5*10^10
                                                = 1 (approximately)
                                                Survival factor =fraction of pores that survived
                                                =3.2/8.5*10^10
                                                =3.77*10^-11
                                                Hope this helps
                                                Feel free to comment in the case of any doubt.
                                                Thank you
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9/11/2020                                                                                                                    EXAMPLE A Fermentation Medium Contains An Initial ... | Chegg.com
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