The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the…

The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is 1000 at initial time t=0. The number of bacteria is increased by 20% in 2 hours. If the population of bacteria is 2000 after kloge65 hours, then kloge22 is equal to:
  1. 8
  2. 4
  3. 16
  4. 2

Solution

dBdt=λB⇒∫10001200dBB=λ∫02dt⇒λ=12ln65

∫10002000dBB=12ln65∫0Tdt⇒T=2ℓn2ln65

⇒ k=2ℓn2

Asked in: MHT CET Full Test 11

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