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please show the working out The desired final population of a microbial population is a probability of 0.00058 . If the initial population is 5104

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please show the working out

The desired final population of a microbial population is a probability of 0.00058 . If the initial population is 5104 and the survival of the population is described by D121=1.5min, and z=11C, estimate the time required to reach the stated probability at 110C. z=logD1logD2(T2T1)logN0logNt=DF z= thermal resistance factor D1= decimal reduction time for T1 D2= decimal reduction time for T2 T1= processing temperature T2= processing temperature F= thermal death time N0= initial microbial population Nt= microbial population at given time D= decimal reduction time

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