What is the quantity of element X left after 10 days when starting with a 100-gram sample of element X with a 5-day half-life?(1 point)

Question

Responses

100 g
100 g

50 g
50 g

75 g
75 g

25 g

Answer 1

To determine the quantity of element X left after 10 days, we can use the half-life method. The half-life of element X is 5 days, which means that every 5 days, half of the sample will decay.

1. After the first 5 days (1 half-life), the quantity left will be: \[ \frac{100 , \text{g}}{2} = 50 , \text{g} \]

2. After another 5 days (a total of 10 days or 2 half-lives), the quantity left will be: \[ \frac{50 , \text{g}}{2} = 25 , \text{g} \]

Therefore, after 10 days, the quantity of element X left is 25 g.