The half-life of a substance is 12.
At time = 0, this substance has size 60
Calculate the size of the substance at time = 33.
Step 1: Calculate Time Difference (Δ)
Δ = tn - t
Δ = 33. - 0
Δ = 33
Step 2: Calculate number of half-lives (hn)
| hn = | Δ |
| h |
| hn = | 33 |
| 12. |
hn = 2.75 <-- Number of times we will reduce our original size by ½
Step 3: Calculate New Substance Size (xn)
We go through each time starting at t = 0 all the way to hn = 2.75
Substance size at time = 1
x1 = ½(x0)
x1 = ½(60)
x1 = 30
Substance size at time = 2
x2 = ½(x1)
x2 = ½(30)
x2 = 15
Shortcut Solution to Above
xn = ½hnx0
xn = ½2.75(60)
| xn = | 60 |
| 6.7271713220297 |
xn = 8.9190533625204
You have 2 free calculationss remaining
What is the Answer?
xn = 8.9190533625204
How does the Half-Life of a Substance Calculator work?
Free Half-Life of a Substance Calculator - Given a half-life (h) of a substance at time t, this determines the new substance size at time tn, otherwise known as decay.
This calculator has 4 inputs.
This calculator has 4 inputs.
What 4 formulas are used for the Half-Life of a Substance Calculator?
Δ = tn - t
Number of half lives = Δ/half life
Half Life Remaining = 1/2 * Prior Amount
For more math formulas, check out our Formula Dossier
Number of half lives = Δ/half life
Half Life Remaining = 1/2 * Prior Amount
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Half-Life of a Substance Calculator?
- decay
- Reduction in size from decomposition
- exponent
- The power to raise a number
- half-life
- time required for a quantity to reduce to half its initial value
- substance
Example calculations for the Half-Life of a Substance Calculator
Half-Life of a Substance Calculator Video
Tags:
Add This Calculator To Your Website
