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Carbon-13 and carbon-14 are isotopes of carbon - Edexcel - GCSE Physics Combined Science - Question 6 - 2019 - Paper 1

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Carbon-13 and carbon-14 are isotopes of carbon. Nuclei of carbon-13 and carbon-14 can be represented by these symbols $$^{13}_{6}C$$ and $$^{14}_{6}C$$ Complete the... show full transcript

Worked Solution & Example Answer:Carbon-13 and carbon-14 are isotopes of carbon - Edexcel - GCSE Physics Combined Science - Question 6 - 2019 - Paper 1

Step 1

Complete the table for an atom of carbon-13 and an atom of carbon-14.

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Answer

number of neutrons in the nucleusnumber of electrons in orbit around the nucleus
carbon-1376
carbon-1486

Step 2

State the name of an instrument that can be used to measure radioactivity.

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Answer

A Geiger counter.

Step 3

State two sources of background radiation.

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Answer

  1. Cosmic rays from outer space.
  2. Radioactive materials in the soil.

Step 4

Determine the age of the piece of wood.

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Answer

To calculate the age, we observe that the number of carbon-14 atoms decreased from 1,000,000 to 125,000. To find how many half-lives occurred:

  1. Calculate the decay factor: rac{1,000,000}{125,000} = 8

  2. Since the amount of carbon-14 is halved each half-life, we find: 2n=82^n = 8 Where nn is the number of half-lives. Thus, n=3n = 3 half-lives.

  3. Multiply the number of half-lives by the half-life duration: Age of wood = 3×5700=171003 \times 5700 = 17100 years.

Step 5

Explain what the information in Figure 5 and Figure 6 shows about the structure of an atom.

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Answer

The results from the experiment conducted by Rutherford indicate that atoms are mostly empty space, as evidenced by the large number of alpha particles passing through the gold foil undetected. The observation that very few alpha particles were deflected at large angles suggests that a small, dense, positively charged nucleus exists at the center of the atom. The majority of the mass of the atom is concentrated in this nucleus, while electrons orbit around this nucleus, leading to an overall neutral charge.

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