Half life formula
The half-life formula is a mathematical equation used to calculate the time it takes for a substance to decay by half
The half-life formula is a mathematical equation used to calculate the time it takes for a substance to decay by half. It is commonly used in various scientific disciplines such as physics, chemistry, and biology.
The general formula for calculating half-life is:
N(t) = N₀ × (1/2)^(t / T)
Where:
– N(t) represents the remaining quantity of the substance at time t.
– N₀ is the initial quantity of the substance.
– t is the elapsed time.
– T is the half-life of the substance.
In this formula, (1/2)^(t / T) represents the decay factor, which determines how much of the substance remains after a certain time period.
To use the half-life formula, you need to know the initial quantity of the substance and its half-life. By plugging in these values into the formula, you can calculate the remaining quantity of the substance at any given time.
Here’s an example to illustrate the use of the half-life formula:
Suppose you start with 100 grams of a radioactive substance with a half-life of 10 days. After 10 days, you want to calculate how much of the substance will remain.
Using the formula: N(t) = N₀ × (1/2)^(t / T)
Where N₀ = 100 grams, t = 10 days, and T = 10 days
N(t) = 100 × (1/2)^(10 / 10) = 100 × (1/2)^1 = 100 × 1/2 = 50 grams
Therefore, after 10 days, only 50 grams of the radioactive substance will remain.
The half-life formula is a useful tool in understanding the decay process and estimating the amount of a substance remaining at any given time.
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