Numerical Based on Decay Constant Problem 15 - Nuclear Chemistry & Radioactivity

TL;DR

This video explains how to solve a numerical problem based on decay constant, specifically problem number 15, where a 0.5 gram sample of helium-201 decays to 0.0788 grams in 8 days, and the goal is to find the half-life.

Transcript

click the bell icon to get latest videos from akira hello friends in the previous topic we have discussed about how to solve the numerical based on the decay constant problem number 14 and here we are going to talk about how to solve the numerical based on decay constant but this is problem number 15 so let us see what is the question and let's see... Read More

Key Insights

• 🛟 The numerical problem involves determining the half-life of a sample based on given data of initial and remaining amounts.
• 🧑‍💻 To calculate the decay constant, the formula lambda = 2.303 / t log (n₀/n) is used.
• 🛟 The half-life is then calculated using the formula T₁/₂ = 0.693 / lambda.
• 🥳 The given problem involves the decay of a 0.5 gram sample of helium-201 to 0.0788 grams in 8 days.
• 🥳 The unit of the decay constant is inverse days (D⁻¹).
• 🥳 The unit of the half-life is days.
• ❓ The calculation of the decay constant provides a value of 0.231 D⁻¹.

Questions & Answers

Q: What is the given information in the numerical problem about decay constant?

The given information includes the initial sample amount (0.5g), the remaining amount after decay (0.0788g), and the duration of decay (8 days).

Q: How is the decay constant calculated in this problem?

The decay constant is calculated using the formula lambda = 2.303 / t log (n₀/n), where t is the duration of decay, n₀ is the initial sample amount, and n is the remaining amount after decay.

Q: What is the formula to calculate the half-life in this problem?

The formula to calculate the half-life is T₁/₂ = 0.693 / lambda, where lambda is the decay constant obtained from the previous calculation.

Q: What is the result of the half-life calculation in this numerical problem?

The half-life in this problem is determined to be 3 days.

Summary & Key Takeaways

• The question involves a 0.5 gram sample of helium-201 decaying to 0.0788 grams in 8 days, and the task is to find the half-life.

• The given data includes the initial sample amount (0.5g), the remaining amount after decay (0.0788g), and the duration of decay (8 days).

• To solve the problem, the decay constant is calculated using the formula lambda = 2.303 / t log (n₀/n), and then the half-life is determined using the formula T₁/₂ = 0.693 / lambda.