The growth of Pseudomonas bacteria is modeled as a first-order process with k=0.
ID: 565239 • Letter: T
Question
The growth of Pseudomonas bacteria is modeled as a first-order process with k=0.035 min^-1 at 37 degrees Celsius. The initial Pseudomonas population density is 1.0 x 10^3 cells/L. Enter your answer in scientific notation. (A) what is the population density after 4.0 h? _______ x 10 ^____ cells/L (B) what is the time required for the population to go from 1.0 x 10^3 to 3.5 x 10^3 cells/L? ________ x 10^___ cells/L The growth of Pseudomonas bacteria is modeled as a first-order process with k=0.035 min^-1 at 37 degrees Celsius. The initial Pseudomonas population density is 1.0 x 10^3 cells/L. Enter your answer in scientific notation. (A) what is the population density after 4.0 h? _______ x 10 ^____ cells/L (B) what is the time required for the population to go from 1.0 x 10^3 to 3.5 x 10^3 cells/L? ________ x 10^___ cells/L (A) what is the population density after 4.0 h? _______ x 10 ^____ cells/L (B) what is the time required for the population to go from 1.0 x 10^3 to 3.5 x 10^3 cells/L? ________ x 10^___ cells/LExplanation / Answer
For growth kinetic process the formula is given by,
K = -2.303/t*log(a/(a+x))
K = rate constant = 0.035 min^-1
a = initial population = 1*10^3 cell/L
a+x = final population of bacteria = ?
from the formula,
0.035 = -2.303/(4*60)*log(1*10^3/(a+x))
a+x = 4.4403 * 10^6 cell/L
From the formula,
0.035 = -2.303/t*log(1*10^3/(3.5*10^3))
t = 35.7997 min
t = 35.7997/60 = 0.5967 hr
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