An element with a mass of 1000 grams decays by 14.8% per minute. How much of the element is remaining after 11 minutes, to the nearest tenth of a gram?
Answer (2)
100% − 14.8% = 85.2% = 0.852 1000 g × 0.85 2 11 ≈ 171.7 g ← an s w er
After 11 minutes of decay at a rate of 14.8% per minute, approximately 171.7 grams of the initial 1000 grams of the element remains. The calculation uses the exponential decay formula to determine the remaining mass. It's important to convert the decay rate to a fraction that represents the amount left after each minute of decay.
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