Question

the number N of bacteria in a culture grew at a rate proportional to N the value of N was initially 100 and increses to 332 in 1 hour. what was the value of N after 1.1/2 hours​

Answer 1

Answer:

Step-by-step explanation:

GivendNdtαN i.e, dNdt=kN Where K is a constant

∴ dWN= k dt ; integrating we get , log N = kt + c  - equation 1

When t = 0 ,N = 100   ⇒ C = log 100

Substituting in (1) we get kt = log N - log 100 - (2)

Also when t = 1 , N = 332

K = log 332 - log 100   - (3)

Divide (2) by (3)

t=log N−log 100log 332−log 100

When t = 3/2

32=logN100log 332100

∴ 2 log(N100)=3 log(332100)

N≃ 605

Answer 2

Answer:

348 hours

Step-by-step explanation:

1 hour=232 increament

3/2=232×3/2=348