Calculate Kinetic Energy of 232Th to 228Ra/Alpha Particle

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SUMMARY

The decay of a 232 Th (thorium) nucleus to a 228 Ra (radon) nucleus emits an alpha particle, resulting in a total kinetic energy of 6.54 x 10^-3 J. The alpha particle has a mass that is 1.76% of the 228 Ra nucleus. Calculating the kinetic energy of the recoiling 228 Ra nucleus and the alpha particle involves applying conservation of momentum and energy principles. The discussion emphasizes the need to show all calculations and reasoning in homework submissions.

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  • Understanding of nuclear decay processes
  • Knowledge of kinetic energy calculations
  • Familiarity with conservation of momentum
  • Basic concepts of mass-energy equivalence
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  • Calculate kinetic energy using the formula KE = 1/2 mv²
  • Explore conservation of momentum in nuclear reactions
  • Investigate the properties of alpha particles and their mass
  • Learn about the decay chains of thorium and radon isotopes
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MAPgirl23
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A 232 Th (thorium) nucleus at rest decays to a 228 Ra (radon) nucleus with the emission of an alpha particle. The total kinetic energy of the decay fragments is 6.54 x 10^-3 J. An alpha particle has 1.76% of the mass of a 228 Ra nucleus.

a) Calculate the kinetic energy of the recoiling 228 Ra nucleus.

b) Calculate the kinetic energy of the alpha particle.
 
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MAPgirl23 said:
A 232 Th (thorium) nucleus at rest decays to a 228 Ra (radon) nucleus with the emission of an alpha particle. The total kinetic energy of the decay fragments is 6.54 x 10^-3 J. An alpha particle has 1.76% of the mass of a 228 Ra nucleus.

a) Calculate the kinetic energy of the recoiling 228 Ra nucleus.

b) Calculate the kinetic energy of the alpha particle.

Please note that we DO have a Homework help section AND a set of instructions in that section on what you must show when you are trying to work on a problem.

Zz.
 
MAPgirl23 said:
A 232 Th (thorium) nucleus at rest decays to a 228 Ra (radon) nucleus with the emission of an alpha particle. The total kinetic energy of the decay fragments is 6.54 x 10^-3 J. An alpha particle has 1.76% of the mass of a 228 Ra nucleus.

a) Calculate the kinetic energy of the recoiling 228 Ra nucleus.

b) Calculate the kinetic energy of the alpha particle.
What is the speed of the alpha particle? What is its mass? Using conservation of momentum, what is the recoil speed of the 228 Ra nucleus?

AM
 

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