The results from a survivor curve experiment indicate that t

The results from a survivor curve experiment indicate that the first order-rate constant (k) is 0.307/min at 110 C. If there were 4.9x10^4 survivors after 10 minutes, estimate the survivor ratio (N/No) at 5, 15, and 20 min.

Solution

First order rate constant (k) = 0.307/min at 110° C

Survivors after 10 minutes=4.9x10⁴

Estimate the survivor ratio (N/No) at 5, 15, and 20 min

You can know the ratio of survivors at 5,15 and 20 minutes by using the information given in the question regarding the initial microbial population at 10 min.

N/N0=10^-F/D

At 10 min

4.9x104/N)=10^-10/0.307

N)= 1.8 x 10³⁷

(1) At 5 min

N/N0= 10^-5/0.307

=5.17x10^-17

(2) At 15 min

N/N0= 10^-15/0.307

=1.38x10^-49

(3) At 20 min

N/N0= 10^-20/0.307

=7.14x10^-66