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 in decimal form
The half-life of uranium-238 is (700,000,000 + 4.463×10^11) years, which equals approximately 446,300,000,000 years.
To calculate the half-life of uranium-238, we need to add the difference in half-life duration to the half-life of uranium-235:
Half-life of uranium-235: 700,000,000 years
Difference in half-life duration: 4.463×10^11 years
Half-life of uranium-238 = Half-life of uranium-235 + Difference in half-life duration
Half-life of uranium-238 = 700,000,000 + 4.463×10^11
Half-life of uranium-238 = 4.533×10^11 years
Therefore, the half-life of uranium-238 in decimal form is approximately 453,300,000,000 years.
To find the half-life of uranium-238, we can subtract the half-life of uranium-235 from the longer half-life of uranium-238.
The half-life of uranium-238 is 4.463×10^11 years longer than the half-life of uranium-235, which is 700,000,000 years.
To subtract these two values, we convert 700,000,000 years to scientific notation.
700,000,000 years = 7 × 10^8 years
Then we subtract:
4.463×10^11 years - 7 × 10^8 years = 4.4563×10^11 years
Therefore, the half-life of uranium-238 is 4.4563×10^11 years in decimal form.