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Answer :
The decay constant is approximately -0.05575 h^(-1).
To find the decay constant, we can use the formula for radioactive decay:
A = A₀ * e^(-λt)
Where:
A is the final activity (8.00mCi)
A₀ is the initial activity (10.0mCi)
λ is the decay constant (which we need to find)
t is the time (4.00 h)
To solve for λ, we can rearrange the equation as follows:
A/A₀ = e^(-λt)
Taking the natural logarithm of both sides:
ln(A/A₀) = -λt
Now we can solve for λ:
λ = -ln(A/A₀) / t
Substituting the given values:
λ = -ln(8.00mCi/10.0mCi) / 4.00 h
Simplifying:
λ = -ln(0.8) / 4.00 h
Calculating:
λ ≈ -0.223 / 4.00 h
λ ≈ -0.05575 h^(-1)
Therefore, the decay constant is approximately -0.05575 h^(-1).
To know more about radioactive decay refer to
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