The half-life of carbon-11 is 20.3 minutes.How much of a 100.0 mg sample remains after 1.6 hours?

Question

Quizplus · Accepted Answer

First, we need to convert 1.6 hours to minutes:

1.6 hours x 60 minutes/hour = 96 minutes

Next, we can use the formula for half-life:

N = N₀ x (1/2)^(t/t₁/₂)

Where: 
N₀ = initial amount 
N = amount remaining 
t = time passed 
t₁/₂ = half-life

Plugging in the values we have:

N = 100.0 mg x (1/2)^(96/20.3) 
N ≈ 3.77 mg

Therefore, the answer is A) 3.77 mg.

The Half-Life of Carbon-11 Is 20