The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×1011 years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)
Responses
11,463,000,000
11,463,000,000
447,000,000,000
447,000,000,000
516,300,000,000
516,300,000,000
4.4637×1011
The correct answer is:
4.4637×1011
To find the half-life of uranium-238, we can start with the information given.
The half-life of uranium-235 is 700,000,000 years.
The half-life of uranium-238 is 4.463×1011 years longer than the half-life of uranium-235.
Therefore, we can calculate the half-life of uranium-238 by adding the difference to the half-life of uranium-235.
700,000,000 + 4.463×1011 = 5.163×1011
So, the half-life of uranium-238 is approximately 5.163×1011 years.
To find the half-life of uranium-238, you need to add the additional 4.463 x 10^11 years to the half-life of uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
Add 4.463 x 10^11 years to 700,000,000 years:
700,000,000 + 4.463 x 10^11
The sum is 4.4637 x 10^11 years.
So, the half-life of uranium-238 is 4.4637 x 10^11 years, which is equivalent to the option:
4.4637 x 10^11