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Caesium-137 is a radioactive isotope of the alkali metal caesium - Leaving Cert Chemistry - Question c - 2013

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Caesium-137 is a radioactive isotope of the alkali metal caesium. Caesium-137 was released into the atmosphere when Japanese nuclear reactors were damaged by a tsuna... show full transcript

Worked Solution & Example Answer:Caesium-137 is a radioactive isotope of the alkali metal caesium - Leaving Cert Chemistry - Question c - 2013

Step 1

Define radioactivity.

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Answer

Radioactivity is defined as the spontaneous random decay of a nucleus, which involves the release of radiation in the form of beta (β) and gamma (γ) rays. This process occurs when an unstable nucleus emits energy and particles due to disintegration.

Step 2

Give two differences between chemical reactions and nuclear reactions.

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Answer

  • Chemical reactions involve the rearrangement of electrons and do not result in a change to the nuclei of the reacting atoms, whereas nuclear reactions involve changes to the nucleus itself and can result in the formation of new elements.
  • In chemical reactions, mass conventions are preserved with respect to the reactants and products, while in nuclear reactions, mass can be converted into energy according to Einstein's equation, E=mc2E=mc^2.

Step 3

Give two properties of beta-particles.

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  • Beta-particles are negatively charged particles (electrons) that are emitted during beta decay and travel at high speeds—approaching the speed of light.
  • They are moderately penetrating, able to pass through paper but stopped by materials like aluminum or plastic.

Step 4

What fraction of this mass remained as caesium-137 after 90 days?

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The half-life of caesium-137 is 30 days. After 90 days, which is 3 half-lives (90 / 30 = 3), the fraction of the original mass remaining can be calculated as follows:

ext{Remaining mass} = rac{1}{2^n} For 3 half-lives:

ext{Remaining mass} = rac{1}{2^3} = rac{1}{8} ext{ or } 12.5\% Thus, the fraction remaining after 90 days is one-eighth or 12.5%.

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