Medium1 markShort Answer
AQA GCSE · Question 02.4 · Atomic Structure
Using the graph from the previous question, estimate the mass of polonium-210 remaining after 300 days.
Using the graph from the previous question, estimate the mass of polonium-210 remaining after 300 days.
How to approach this question
1. Find the time of 300 days on the x-axis.
2. Move vertically up from 300 days to the curve.
3. From that point on the curve, move horizontally to the left to read the mass on the y-axis.
4. Since the curve doesn't quite reach 300 days, you may need to estimate by extending the curve slightly or by using the concept of half-life.
Full Answer
125 mg (or any value between 120 and 130 mg)
There are two ways to approach this:
1. **Extrapolating the graph:** Find 300 on the time (x) axis. Follow the line up to where the curve would be if it continued. Then read across to the mass (y) axis. This gives a value around 125 mg.
2. **Using half-life:** The half-life is the time it takes for the mass to halve.
- Starts at 600 mg.
- Half of 600 is 300 mg. The time to reach 300 mg is approximately 140 days. So the half-life is ~140 days.
- After another half-life (at 140 + 140 = 280 days), the mass will halve again: 300 mg / 2 = 150 mg.
- 300 days is a little after 280 days, so the mass will be a little less than 150 mg. The value from the graph of ~125 mg is a reasonable estimate.
Common mistakes
✗ Reading the value at 250 days instead of 300 days.
✗ Guessing a value without referring to the graph or the concept of half-life.
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