I asked ChatGPT how many 1 gallon water changes would I need to get to 100% new water in my 50 gallon tank.
“Here are the first few steps showing the percentage of old water remaining after each 1-gallon replacement:
1. 98.00%
2. 96.04%
3. 94.12%
4. 92.24%
5. 90.40%
6. 88.59%
7. 86.82%
8. 85.08%
9. 83.38%
10. 81.71%
This continues following the exponential decay pattern. By the 50th change, about 36.12% of the old water remains.
To reach less than 1% old water, you’d need around 229 changes.
To reach 0.01% old water, you’d need around 528 changes.”
I don’t know if the math is correct but I found it interesting.
“Here are the first few steps showing the percentage of old water remaining after each 1-gallon replacement:
1. 98.00%
2. 96.04%
3. 94.12%
4. 92.24%
5. 90.40%
6. 88.59%
7. 86.82%
8. 85.08%
9. 83.38%
10. 81.71%
This continues following the exponential decay pattern. By the 50th change, about 36.12% of the old water remains.
To reach less than 1% old water, you’d need around 229 changes.
To reach 0.01% old water, you’d need around 528 changes.”
I don’t know if the math is correct but I found it interesting.