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Ch.20 - Nuclear Chemistry
Chapter 20, Problem 46

Thorium-232 decays by a 10-step series, ultimately yielding lead-208. How many alpha particles and how many beta particles are emitted?

Verified step by step guidance
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Step 1: Understand the decay process. Thorium-232 undergoes a series of nuclear decays to eventually form lead-208. In nuclear decay, alpha and beta particles are emitted to transform the nucleus into a more stable form.
Step 2: Recall the properties of alpha and beta decay. An alpha particle consists of 2 protons and 2 neutrons, reducing the atomic number by 2 and the mass number by 4. A beta particle is an electron emitted when a neutron converts into a proton, increasing the atomic number by 1 without changing the mass number.
Step 3: Calculate the change in mass number. The initial mass number is 232 (Thorium-232) and the final mass number is 208 (Lead-208). Determine how many alpha particles are needed to account for this change in mass number.
Step 4: Calculate the change in atomic number. The initial atomic number is 90 (Thorium) and the final atomic number is 82 (Lead). Determine how many beta particles are needed to account for this change in atomic number, considering the effect of alpha decay as well.
Step 5: Use the information from steps 3 and 4 to determine the number of alpha and beta particles emitted. Ensure that the total number of decays (10 steps) is consistent with the number of particles emitted.

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Radioactive Decay

Radioactive decay is the process by which unstable atomic nuclei lose energy by emitting radiation. This can occur through various modes, including alpha decay, where an alpha particle (two protons and two neutrons) is emitted, and beta decay, where a neutron is transformed into a proton, emitting a beta particle (an electron or positron). Understanding the type of decay is crucial for predicting the products of a decay series.
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Decay Series

A decay series is a sequence of radioactive decays that an unstable nucleus undergoes until it reaches a stable end product. In the case of thorium-232, it undergoes multiple decays, including both alpha and beta emissions, before transforming into lead-208. Each step in the series alters the atomic number and mass number, which is essential for determining the total number of emitted particles.
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Activity Series Chart

Alpha and Beta Particles

Alpha particles consist of two protons and two neutrons, making them relatively heavy and positively charged, while beta particles are high-energy, high-speed electrons or positrons emitted during beta decay. The emission of these particles affects the atomic and mass numbers of the decaying element, which is vital for calculating the total number of each type of particle emitted during the decay process.
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