Answer :
The half-life of this sample is 535.1 days.
Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.
N(t) = N₀(1/2)^(t/T)
where N(t) = amount of substance remaining after time t
N₀ = initial amount of substance
t = time
T = half-life
If a sample of a certain substance decayed to 67.8% of its original amount after 300 days, then N(300) = 0.678N₀.
Plug in the given values to the equation.
N(t) = N₀(1/2)^(t/T)
0.678N₀ = N₀(1/2)^(300/T)
0.678 = (1/2)^(300/T)
T = 535.1 days
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