Help me please! A certain species of animal has a population of 1 animal per 1 k

Question

Help me please!

A certain species of animal has a population of 1 animal per 1 km2. If the population growth rate is maintained at 10% per 10 years, how long would it take for the population to reach 1 animal per 1 m2? Assume the population growth follows the mechanism: M rightarrow M + M (1) and use the starting concentration [M]0 = 1 animal/km2. This species becomes aggressive when meeting its own kind frequently and destroys itself in a bianimalar reaction: M + M rightarrow C + M (2) with a rate constant k2 = 0.5 m2/animal year. This has the effect of restraining the population explosion caused by (1). Use the rate constant calculated in part (a) and this value of k2 to determine the steady state value of [M] at which d[M]/dt = 0

Explanation / Answer

as the population needs to be increased to 10^6 times the initial

so if the rate is maintained at 10% every year that means .1 animal/km^2 so the time required to incresa the population by 10^6 times = 10^6*10/.1 hrs 10^8 hrs

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