Question

question 16 · 1 point a radioactive substance has a decay rate of 0.079 per minute. how many grams of a 200 gram sample will remain radioactive after 1 hour? round the answer to the nearest tenth of a gram, and do not include the unit in your answer. provide your answer below:

Explanation:

Step1: Convert time to minutes

1 hour = 60 minutes

Step2: Apply decay formula

Decay formula: $N(t) = N_0 e^{-kt}$, where $N_0=200$, $k=0.079$, $t=60$.
Calculate exponent: $-0.079 \times 60 = -4.74$
Compute $e^{-4.74} \approx 0.0087$
$N(60) = 200 \times 0.0087 = 1.74$

Step3: Round to nearest tenth

1.74 ≈ 1.7

Answer:

1.7