Suppose the rate of growth of a bacterial population (N cells/liter) is describe

Question

Suppose the rate of growth of a bacterial population (N cells/liter) is described by: dN/dt = kN -1000. The terms represent growth of the bacterial cells (with growth constant k), and predation (eating) of bacteria by a small population of protozoa which does not change over the time period of interest. Assume t is in seconds.

a. What are the units of k?

b. What are the units of the 1000 term on the right hand side?

c. If the initial value of N is 1 million/L, what values of k would allow the initial rate of change of N to be positive?

d. What Euler

Explanation / Answer

kN = unit/L.sec => unit of k = sec^-1 unit of 1000= unit /L.sec kx10^6 -1000=0, k=10^-3,

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