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 4.463×1011 years.
To find the half-life of uranium-238, you need to add the additional time to the half-life of uranium-235.
Half-life of uranium-238 = Half-life of uranium-235 + Additional time
The half-life of uranium-235 is given as 700,000,000 years.
The additional time for uranium-238 is stated as 4.463 × 10^11 years longer.
Adding these values:
Half-life of uranium-238 = 700,000,000 years + 4.463 × 10^11 years
Calculating the sum:
Half-life of uranium-238 = 516,300,000,000 years
Therefore, the half-life of uranium-238 is 516,300,000,000 years in decimal form.
To find the half-life of uranium-238, we can subtract the half-life of uranium-235 from the given duration.
Given:
Half-life of uranium-235 = 700,000,000 years
Difference in half-lives = 4.463×10^11 years (longer for uranium-238)
To calculate:
Half-life of uranium-238 = Difference in half-lives - Half-life of uranium-235
Substituting the values:
Half-life of uranium-238 = 4.463×10^11 years - 700,000,000 years
Now, let's calculate the result:
4.463×10^11 - 700,000,000 = 446,300,000,000 years
Therefore, the half-life of uranium-238 is approximately 446,300,000,000 years.