The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×10

Question

11
years longer. What is the half-life of uranium-238? The answer should be in decimal form. (1 point)

11,463,000,000

4.4637×10
11


516,300,000,000

447,000,000,000

Answer 1

To find the half-life of uranium-238 (U-238), we can start with the given half-life of uranium-235 (U-235), which is 700,000,000 years, and add the additional time (4.463×10^11 years) that is specified as longer than the half-life of U-235.

1. Convert the additional time (4.463×10^11 years) into decimal form:

   • \( 4.463 \times 10^{11} = 446,300,000,000 \) years.

2. Add this to the half-life of U-235:

   • \( 700,000,000 \text{ years} + 446,300,000,000 \text{ years} = 447,000,000,000 \text{ years} \).

Therefore, the half-life of uranium-238 is 447,000,000,000 years.