Question

An element with a mass 820 grams decay by 26.8% per minute. How much of the element is remaining after 18 minutes, to the nearest (10th of a gram ?

Answer 1

To calculate how much of the element is remaining after 18 minutes, we can use the formula: Amount Remaining = Initial Amount * (1 - Decay Rate)^(Time/Time Constant). In this case, the initial amount is 820 grams, the decay rate is 26.8% per minute, and the time constant is the reciprocal of the decay rate (1/26.8%). Substituting these values into the formula, we find that approximately 303.9 grams of the element is remaining after 18 minutes.

Step-by-step explanation:

To calculate how much of the element is remaining after 18 minutes, we can use the formula:

In this case, the initial amount is 820 grams, the decay rate is 26.8% per minute, and the time constant is the reciprocal of the decay rate (1/26.8%). Substituting these values into the formula, we get:

Amount Remaining = 820 * (1 - 0.268)^(18/(1/26.8%))

Calculating this expression, we find that approximately 303.0 grams of the element is remaining after 18 minutes.