Biology Homework Solutions
Problem
#151599

If you inoculate fresh Nutrient Broth with 100 cells of Escherichia coli

1. If you inoculate fresh Nutrient Broth with 100 cells of Escherichia coli and keep the culture at the optimal temperature of 37°C, assuming the generation time is 30 minutes, how many generations will take place after 7 hours?

How many bacteria will be present?

Will the number of bacteria continue to double every 30 minutes indefinitely? Why?

2. Starting with four bacterial cells per cm3 in a rich nutrient medium, with a 20-minutes generation time, how many cells will there be in 1 dm3 of this culture after 1 hour?

After 2 hours?

After 2 hours if one of the initial four cells was non viable?

3. After washing your hands, you decide to do a plate count on the soap. You dilute 1 g of the soap to 10-6 and plate it on nutrient agar. After 24 hours of incubation at 37C, there are 168 colonies. How many bacteria were on the soap?

4. You were given a 24-hour liquid culture of T2 coliphage. After aseptically performing the usual 10-fold serial dilution procedure, you plated 0.1 cm3 of the 10-5, 10-6, 10-7 and 10-8 dilutions in three replicates. Plates were incubated at 37ºC for 24 hours, and these are the results you obtained:

Dilution Replicate 1 Replicate 2 Replicate 3
10-5 TNTC TNTC TNTC
10-6 245 234 284
10-7 23 28 29
10-8 2 3 4

TNTC: Too numerous to count

Calculate the average number of plaque forming units per cm3 present in the original culture.

5. Most vaccines licensed for use in the UK are prepared from attenuated (live) viruses. Attenuated viruses are capable of limited replication in the target cell but cannot replicate sufficiently to cause disease. It is important that each dose of the vaccine contains the correct number of virus particles. Too few may not be sufficient to stimulate a protective immune response and too many may cause disease. It is therefore necessary to check all batches of vaccines made for infectivity using a suitable assay.

Three batches of the attenuated Sabin poliovirus vaccine were tested for infectivity using a plaque assay on Vero cells (a cell line derived from monkey kidney cells); 0.1 cm3 aliquots of each batch were tested three times and the following results were obtained.

Batch 1

Dilution Replicate 1 Replicate 2 Replicate 3
10-6 TNTC TNTC TNTC
10-7 200 231 194
10-8 19 26 24


Batch 2

Dilution Replicate 1 Replicate 2 Replicate 3
10-6 TNTC TNTC TNTC
10-7 198 205 220
10-8 25 33 31

Batch 3

Dilution Replicate 1 Replicate 2 Replicate 3
10-6 TNTC TNTC TNTC
10-7 252 199 208
10-8 32 23 27

TNTC = too numerous to count

What is a plaque?

Suggest why only dilutions above 10-5 were tested.

Calculate the average number of PFU (plaque forming units) per cm3 of the original vaccine suspension for each batch.

If each dose of 0.1 cm3 should contain 500 PFU of attenuated virus, by how much should each batch be diluted?

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1. If you inoculate fresh Nutrient Broth with 100 cells of Escherichia
coli and keep the culture at the optimal temperature of 37°C, assuming
the generation time is 30 minutes, how many generations will take place
after 7 hours?

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How many bacteria will be present?

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Will the number of bacteria continue to double every 30 minutes
indefinitely? Why?

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2. Starting with four bacterial cells per cm3 in a rich nutrient medium,
with a 20-minutes generation time, how many cells will there be in 1 dm3
of this culture after 1 hour?

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After 2 hours?

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After 2 hours if one of the initial four cells was non viable?

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3. After washing your hands, you decide to do a plate count on the soap.
You dilute 1 g of the soap to 10-6 and plate it on nutrient agar. After
24 hours of incubation at 37(C, there are 168 colonies. How many
bacteria were on the soap?

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4. You were given a 24-hour liquid culture of T2 coliphage. After
aseptically performing the usual 10-fold serial dilution procedure, you
plated 0.1 cm3 of the 10-5, 10-6, 10-7 and 10-8 dilutions in three
replicates. Plates were incubated at 37єC for 24 hours, and these are
the results you obtained:

Dilution Replicate 1 Replicate 2 Replicate 3

10-5 TNTC TNTC TNTC

10-6 245 234 284

10-7 23 28 29

10-8 2 3 4



TNTC: Too numerous to count

Calculate the average number of plaque forming units per cm3 present in
the original culture.

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5. Most vaccines licensed for use in the UK are prepared from attenuated
(live) viruses. Attenuated viruses are capable of limited replication in
the target cell but cannot replicate sufficiently to cause disease. It
is important that each dose of the vaccine contains the correct number
of virus particles. Too few may not be sufficient to stimulate a
protective immune response and too many may cause disease. It is
therefore necessary to check all batches of vaccines made for
infectivity using a suitable assay.

Three batches of the attenuated Sabin poliovirus vaccine were tested for
infectivity using a plaque assay on Vero cells (a cell line derived from
monkey kidney cells); 0.1 cm3 aliquots of each batch were tested three
times and the following results were obtained.

Batch 1

Dilution Replicate 1 Replicate 2 Replicate 3



10-6 TNTC TNTC TNTC



10-7 200 231 194



10-8 19 26 24



Batch 2

Dilution Replicate 1 Replicate 2 Replicate 3



10-6 TNTC TNTC TNTC



10-7 198 205 220



10-8 25 33 31



Batch 3

Dilution Replicate 1 Replicate 2 Replicate 3



10-6 TNTC TNTC TNTC



10-7 252 199 208



10-8 32 23 27



TNTC = too numerous to count

What is a plaque?

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Suggest why only dilutions above 10-5 were tested.

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Calculate the average number of PFU (plaque forming units) per cm3 of
the original vaccine suspension for each batch.

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If each dose of 0.1 cm3 should contain 500 PFU of attenuated virus, by
how much should each batch be diluted?

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