A bacteria culture is known to grow at a rate proportional to the amount present. (a) Write down and solve a DE modeling this process. (Your solution will contain two unknown constants.) (b) After one hour, 1000 strands of the bacteria are observed in the culture; and after four hours, 3000 strands. Use this information to complete the determination of the DE. c) Find the approximate number of strands of the bacteria originally in the culture. (d) How long will it take to reach 10,000 strands of the bacteria in the culture.

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Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.