To solve this problem, we need to use the formula for exponential decay which is:

N = N0 * (1/2)^(t/T)

where:
N is the final amount of the substance,
N0 is the initial amount of the substance,
t is the time that has passed, and
T is the half-life of the substance.

In this case, we want to find N/N0, the fraction of the substance that remains after time t. We know that t = 10.6 minutes and T = 2.23 minutes.

So, we substitute these values into the formula:

N/N0 = (1/2)^(10.6/2.23)

Calculating the exponent first:

10.6/2.23 = 4.75 (approximately)

Then, we calculate the fraction:

N/N0 = (1/2)^4.75 = 0.027 (approximately)

To express this as a percentage, we multiply by 100:

0.027 * 100 = 2.7%

So, approximately 2.7% of the Tin-129 sample would be left after 10.6 minutes.

Question

To solve this problem, we need to use the formula for exponential decay which is:

N = N0 * (1/2)^(t/T)

where:
N is the final amount of the substance,
N0 is the initial amount of the substance,
t is the time that has passed, and
T is the half-life of the substance.

In this case, we want to find N/N0, the fraction of the substance that remains after time t. We know that t = 10.6 minutes and T = 2.23 minutes.

So, we substitute these values into the formula:

N/N0 = (1/2)^(10.6/2.23)

Calculating the exponent first:

10.6/2.23 = 4.75 (approximately)

Then, we calculate the fraction:

N/N0 = (1/2)^4.75 = 0.027 (approximately)

To express this as a percentage, we multiply by 100:

0.027 * 100 = 2.7%

So, approximately 2.7% of the Tin-129 sample would be left after 10.6 minutes.

Knowee AI · Accepted Answer