200 g of a radioactive substance of half life 2 hour is taken. The amount of substance left after 10 hour is
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Given:
Initial amount, N₀ = 200 gm
Total time = 10 hours
Half-life period, T1/2 = 2 hours
To Find:
The amount of substance left after 10 hours.
Calculation:
- The no of half-lives = Total time/Half-life
⇒ n = 10/2 = 5
- Amount of substance left:
N = (1/2)ⁿ × N₀
⇒ N = (1/2)⁵ × 200
⇒ N = 200/32
⇒ N = 6.25 gm
- So, the amount of substance left after 10 hours is 6.25 gm
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