Question

Radium 226 and isotope of radium has a half life of 1601 years. Suppose your chemistry teacher has a 50 gram sample of radium 226 how much of the sample will be remaining after 100 years

Answer 1

Approximately 47.15 grams of the sample will be remaining after 100 years.

Step-by-step explanation:

To calculate how much of the sample will be remaining after 100 years, we can use the half-life formula:

Remaining mass = Initial mass * (1/2)^(t/h)

where:

• Remaining mass is the mass of the sample after time t
• Initial mass is the mass of the sample at the beginning
• t is the time in years
• h is the half-life of the isotope in years

In this case, the initial mass is 50 grams, the time is 100 years, and the half-life is 1601 years. Plugging these values into the formula:

Remaining mass = 50 * (1/2)^(100/1601)

Calculating this expression gives us the remaining mass:

Remaining mass ≈ 50 * 0.943

Remaining mass ≈ 47.15 grams

Therefore, approximately 47.15 grams of the sample will be remaining after 100 years.