1. The mass of unstable isotope would be left in 2 hours is 50 g
2. The mass of unstable isotope would be left in 4 hours is 25 g
3. The mass of unstable isotope would be left in 10 hours is 3.125 g
1. How to determine the mass after 2 hours
We'll begin by calculating the number of half-lives that has elapsed.
- Half-life (t½) = 2 hours
- Time (t) = 2 hours
- Number of half-lives (n) =?
n = t / t½
n = 2 / 2
n = 1
Finally, we shall determine the mass remaining.
- Original amount (N₀) = 100 g
- Number of half-lives (n) = 1
- Amount remaining (N) = ?
N = N₀ / 2ⁿ
N = 100 / 2¹
N = 50 g
2. How to determine the mass after 4 hours
We'll begin by calculating the number of half-lives that has elapsed.
- Half-life (t½) = 2 hours
- Time (t) = 4 hours
- Number of half-lives (n) =?
n = t / t½
n = 4 / 2
n = 2
Finally, we shall determine the mass remaining.
- Original amount (N₀) = 100 g
- Number of half-lives (n) = 2
- Amount remaining (N) = ?
N = N₀ / 2ⁿ
N = 100 / 2²
N = 25 g
3. How to determine the mass after 10 hours
We'll begin by calculating the number of half-lives that has elapsed.
- Half-life (t½) = 2 hours
- Time (t) = 10 hours
- Number of half-lives (n) =?
n = t / t½
n = 10 / 2
n = 5
Finally, we shall determine the mass remaining.
- Original amount (N₀) = 100 g
- Number of half-lives (n) = 5
- Amount remaining (N) = ?
N = N₀ / 2ⁿ
N = 100 / 2⁵
N = 3.125 g
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