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
516,300,000,000
516,300,000,000
4.4637×1011
4.4637 times 10 superscript 11 baseline
447,000,000,000
The half-life of uranium-238 is 516,300,000,000 years.
To find the half-life of uranium-238, we need to add the extra duration to the half-life of uranium-235.
The half-life of uranium-235 is 700,000,000 years.
The extra duration for uranium-238 is 4.463×10^11 years longer.
Adding these two values, we get:
700,000,000 + 4.463×10^11 = 4463,000,000,000
So, the half-life of uranium-238 is 4,463,000,000, or in decimal form, 4.463×10^11.
Therefore, the correct answer is 4.463×10^11.
To find the half-life of uranium-238, you need to add the additional time it takes compared to the half-life of uranium-235.
The half-life of uranium-235 is given as 700,000,000 years.
The question states that the half-life of uranium-238 is "4.463×1011 years longer" than that of uranium-235.
To find the half-life of uranium-238, you add the additional time to the half-life of uranium-235:
700,000,000 + 4.463 × 10^11
Calculating this expression gives us:
= 700,000,000 + 446,300,000,000
= 447,000,000,000
Therefore, the half-life of uranium-238 is 447,000,000,000 years.