TOOLS The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463 * 10 ^ 11 years longer. What is the half-life of uranium-238? The answer should be in decimal form. (1 point) 4.4637 * 10 ^ 11
516,300,000,000
11,463,000,000
447000000000
The half-life of uranium-238 is 1.1463 * 10^9 years.
To find the half-life of uranium-238, we can subtract the half-life of uranium-235 from the given value for uranium-238's half-life.
Given:
Half-life of uranium-235 = 700,000,000 years
Difference in half-life between uranium-235 and uranium-238 = 4.463 * 10^11 years
To calculate the half-life of uranium-238:
Uranium-238 half-life = Difference in half-life + Uranium-235 half-life
Uranium-238 half-life = 4.463 * 10^11 + 700,000,000
Now, let's calculate the answer:
Uranium-238 half-life = 446300000000 + 700000000
Uranium-238 half-life = 447000000000
Therefore, the half-life of uranium-238 is 447000000000 years.
To find the half-life of uranium-238, we need to determine the difference between the half-life of uranium-238 and 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 + Difference in half-lives
Substituting the given values:
Half-life of uranium-238 = 700,000,000 years + 4.463 * 10^11 years
To simplify, we convert 4.463 * 10^11 years to decimal form:
4.463 * 10^11 = 4463 * 10^8 years = 4463 * 100,000,000 years = 4463,000,000 years
Now, we can add the two values:
Half-life of uranium-238 = 700,000,000 years + 4463,000,000 years = 5163,000,000 years
Therefore, the half-life of uranium-238 is 516,300,000,000 years in decimal form.