The table displays the degradation of a 420-gram seaborgium-266 sample as time progresses.

Question

What will be the remaining mass of seaborgium-266 in grams after 90 seconds?

(1 point)
Responses

105.0
105.0

26.3
26.3

52.5
52.5

78.8
78.8
Skip to navigation

Answer 1

To determine the remaining mass of seaborgium-266 after 90 seconds, we need to know its half-life, which is crucial for calculating radioactive decay. Since you didn’t provide the half-life in your question, I will work with a hypothetical example.

Let's assume the half-life of seaborgium-266 is known and we'll use that to calculate the mass after 90 seconds.

1. Calculate the number of half-lives that have passed in 90 seconds. $$\text{Number of half-lives}=\frac{\text{Total Time}}{\text{Half-Life}}$$

2. Calculate the remaining mass using the formula: $$\text{Remaining Mass}=\text{Initial Mass}\times {\left(\frac{1}{2}\right)}^{\text{Number of half-lives}}$$

Without the half-life, I cannot provide an exact answer. However, if the half-life is such that 90 seconds results in the mass being reduced to any of the proposed response values, it would guide us toward the correct choice.

If we assume typical values for seaborgium-266’s half-life and check them against the options:

1. If the half-life is 30 seconds, then in 90 seconds (which is 3 half-lives): $$\text{Remaining Mass}=420\times {\left(\frac{1}{2}\right)}^3=420\times \frac{1}{8}=52.5\text{ grams}$$

This means that if the half-life of seaborgium-266 is 30 seconds, the answer would be 52.5 grams.

Check the half-life you have, and if it aligns with this calculation, you can conclude that the remaining mass after 90 seconds is 52.5 grams. If you provide the specific half-life, I can give a definitive answer based on that.