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
447,000,000,000
447,000,000,000
11,463,000,000
11,463,000,000
516,300,000,000
516,300,000,000
4.4637×1011
The correct answer is 4.463×1011.
To find the half-life of uranium-238, we need to add the additional years to the half-life of uranium-235.
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 calculate the half-life of uranium-238 as follows:
Half-life of uranium-238 = Half-life of uranium-235 + Additional years
Half-life of uranium-238 = 700,000,000 + 4.463×10^11
Half-life of uranium-238 = 4.4637×10^11.
Therefore, the half-life of uranium-238 is 4.4637×10^11 in decimal form.
To find the half-life of uranium-238, you need to add the additional time it takes to decay compared to uranium-235.
The half-life of uranium-238 is 4.463×10^11 years longer than the half-life of uranium-235.
So, you can calculate the half-life of uranium-238 by adding 4.463×10^11 years to the half-life of uranium-235, which is 700,000,000 years.
Adding these two values together gives you:
700,000,000 + 4.463×10^11 = 447,000,000,000
Therefore, the half-life of uranium-238 is 447,000,000,000 years. The correct answer is the first option.