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PCR was used to amplify a region of DNA - Scottish Highers Human Biology - Question 3 - 2023

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PCR was used to amplify a region of DNA. After 5 cycles 32 copies were present. Calculate the number of additional copies present after 4 further cycles.

Worked Solution & Example Answer:PCR was used to amplify a region of DNA - Scottish Highers Human Biology - Question 3 - 2023

Step 1

Calculate the number of copies after 5 cycles

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Answer

In PCR, the number of copies can be calculated using the formula: N=N0imes2nN = N_0 imes 2^n where:

  • NN is the final number of copies,
  • N0N_0 is the initial number of copies,
  • nn is the number of cycles.

After 5 cycles, we know N=32N = 32. To find the initial number of copies (N0N_0), we can rearrange the formula: N0=N2nN_0 = \frac{N}{2^n} Substituting in the values gives us: N0=3225=3232=1N_0 = \frac{32}{2^5} = \frac{32}{32} = 1 Therefore, there was 1 initial copy before amplification.

Step 2

Calculate the number of copies after 9 cycles

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Answer

Now we want to calculate the number of copies after 9 total cycles (5 + 4). Using the same formula, we have: N=N0×2nN = N_0 \times 2^n N=1×29=29=512N = 1 \times 2^9 = 2^9 = 512 So, after 9 cycles, there will be 512 copies.

Step 3

Additional copies after 4 more cycles

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Answer

To find the number of additional copies, we subtract the number of copies after 5 cycles from the total number after 9 cycles: Additional copies=N(9)N(5)=51232=480\text{Additional copies} = N(9) - N(5) = 512 - 32 = 480 Thus, the additional copies present after 4 more cycles are 480.

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