Question 20 of 32 Map Donald McQuarrie Peter A. Rock Ethan Gallogly University S

Question

Question 20 of 32 Map Donald McQuarrie Peter A. Rock Ethan Gallogly University Science Books presented by Sapling Learni Suppose that you pl find the following data at 37 ace exactly 100 bacteria into a flask containing nutrients for the bacteria and that you t (min) Number of bacteria 15.0 30.0 45.0 60.0 100 200 400 800 1600 What is the order of the rate of production of the bacteria? How many bacteria will be present after 1.20 x 102 min? Number O zero order O first order O second order bacteria What is the rate constant for the process? Number units min

Explanation / Answer

for a zero order reaction dN/dt has to be constant and the data on dN/dt suggested the reaction to be not zero order

For first order reaction the rate is proporitional to cocnentration (in this case bacteria number(

As the time increased from 0 to 15 minutes the count of bacteria is doubled. Hence the reactino is first order.

at 120 minuhtes the number of bacteria will be 3200

the plot of time (min) vs Number count of bacteria (N) is shown below.

The equation is N= Noe(0.046t) suggesrting first order equation

The rate constant is therefore = 0.046/min

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