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Help Tools General Chemistry 4th Edition University Science Books presented by S

ID: 549631 • Letter: H

Question

Help Tools General Chemistry 4th Edition University Science Books presented by Sapling Leaming Suppose that you place exactly 100 bacteria into a flask containing nutrients for the bacteria and that you find the following data at 37 t (min) Number of bacteria 20.0 40.0 60.0 80.0 100 200 400 800 600 What is the order of the rate of production of the bacteria? How many bacteria will be present after 1.60 x 10 min? Number zero order O first order O second order bacteria What is the rate constant for the process? Number units Select answer

Explanation / Answer

it is a growth kinetcs question

K1 = - (1/t)ln(a/a+x)

   a = initial no of bacteria= 100

a+x = no of bacterias present after 20 min = 200

   t = time = 20 min

K1 = -(1/20)ln(100/200) = 0.0346 min-1

a = initial no of bacteria= 100

a+x = no of bacterias present after 20 min = 400

   t = time = 40 min


K1 = -(1/40)ln(100/400) = 0.0346 min-1

as K1 is constant , it is a first order reaction.

no of bacterias present after 1.6*1062 min

k1 = - (1/t)ln(a/a+x)

   a = initial no of bacteria= 100

a+x = no of bacterias present after 160 min = ?

   t = time = 160 min

0.0346 = -(1/160)ln(100/a+x)

a+x = 25366.13