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
4.533×1011 years
To find the half-life of uranium-238, we can first determine the difference in half-lives between uranium-235 and uranium-238.
Given that the half-life of uranium-235 is 700,000,000 years, and the half-life of uranium-238 is 4.463×1011 years longer, we can calculate the half-life of uranium-238 by adding the longer duration to the half-life of uranium-235.
Thus, the half-life of uranium-238 would be:
700,000,000 + 4.463×1011 = 446,300,000,000 years (in decimal form).
Therefore, the half-life of uranium-238 is approximately 446,300,000,000 years.
To find the half-life of uranium-238, we need to calculate the difference between the two half-lives.
Given that the half-life of uranium-235 is 700,000,000 years, and the half-life of uranium-238 is 4.463×10^11 years longer, we can find the half-life of uranium-238 by adding the difference to the half-life of uranium-235.
Step 1: Calculate the difference between the two half-lives:
Half-life of uranium-238 - Half-life of uranium-235 = 4.463×10^11 years
Step 2: Add the difference to the half-life of uranium-235:
700,000,000 years + 4.463×10^11 years = 7.163×10^11 years
Therefore, the half-life of uranium-238 is approximately 7.163×10^11 years in decimal form.