Numerical Based on Decay Constant Problem 11 - Nuclear Chemistry & Radioactivity

TL;DR

Calculating half-life period of element X with an atomic number of 35 based on decay data.

Transcript

click the bell icon to get latest videos from akira reference in the previous topic we have discussed about the numerical based on the decay constant problem number 10 and here we are going to talk about the problem number 11 so what is it and what is the data that we have to find out based on this cushion let me talk about that in this topic here ... Read More

Key Insights

• 🛟 Problem involves calculating decay constant and half-life period of element X.
• ☢️ Initial percentage of radioactive element is 100, with 30% decay completed.
• 🏧 Decay constant is derived using formula lambda = 2.303 / T log10(N0 / M).
• 😃 Half-life period calculated as T half = 0.693 / lambda, resulting in 893 R.
• 🛟 Units for decay constant and half-life period are R.
• ❓ Understanding decay data is crucial for solving numerical problems in physics.
• ☠️ Decay constants provide insights into the rate of decay of radioactive elements.

Questions & Answers

Q: What is the initial percentage of the radioactive element in the problem?

The initial percentage of the radioactive element is 100 since it is stated that 30% of the decay has been completed, leaving 70% remaining for calculation purposes.

Q: How is the decay constant calculated from the given data?

The decay constant is calculated using the formula lambda = 2.303 / T log10(N0 / M), where N0 and M represent the initial and remaining percentages of the radioactive element, respectively.

Q: What unit is used for the decay constant in this problem?

The unit for the decay constant is inverse time (R) as it involves dividing a time value by 1/time (R inverse) to derive the decay constant value.

Q: How is the half-life period determined from the decay constant?

The half-life period (T half) is calculated using the formula T half = 0.693 / lambda, where lambda represents the decay constant calculated from the given data set.

Summary & Key Takeaways

• Problem involves decay of element X with 30% completion and atomic number 35.

• Initial percentage of radioactive element is 100, 30% decay completed.

• Calculated decay constant and half-life period as 0.178 R and 893 R, respectively.