Applying radioactive decay to determine the percent left of compound

The video tutorial explains growth and decay models, focusing on the half-life of radioactive radium. It provides a step-by-step guide to solving for the decay rate and calculating the percentage of radium remaining after 100 years. The tutorial uses the formula Y = A * e^(RT) and demonstrates how to apply logarithms to solve for the decay rate. The conclusion shows that 96% of radium remains after 100 years, given its half-life of 1620 years.

What is the formula used for growth and decay models?

• Y = A * RT

• Y = A * e^(RT)

• Y = A + e^(RT)

• Y = A / e^(RT)

What is the half-life of radioactive radium as mentioned in the video?

• 500 years

• 100 years

• 1620 years

• 2000 years

How do you solve for the rate of decay in the given problem?

• By adding 1620 to both sides

• By dividing both sides by 2

• By taking the natural logarithm of both sides

• By multiplying both sides by 1620

What is the rate of decay for radium expressed as?

• Ln(2) / 1620

• Ln(1/2) / 1620

• Ln(2) * 1620

• Ln(1/2) * 1620

What does the half-life of a substance represent?

• The time it takes for the substance to reduce to half

• The time it takes for the substance to double

• The time it takes for the substance to increase by 10%

• The time it takes for the substance to completely decay

After 100 years, what percentage of radium remains?

• 75%

• 50%

• 100%

• 96%

If the initial amount of radium is 100 grams, how much remains after 100 years?

• 50 grams

• 75 grams

• 100 grams

• 96 grams