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.
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
Given:
Half-life of uranium-235 (t₁/₂₁) = 700,000,000 years
Additional time for uranium-238 (tₐ) = 4.463×10^11 years
Half-life of uranium-238 (t₁/₂₂) = t₁/₂₁ + tₐ
Substituting the given values:
t₁/₂₂ = 700,000,000 years + 4.463×10^11 years
Calculating the sum:
t₁/₂₂ = 4.463×10^11 + 700,000,000 years
t₁/₂₂ ≈ 446,300,000,000 years
The half-life of uranium-238 is approximately 446,300,000,000 years.
447,000,000,000
447,000,000,000
516,300,000,000
516,300,000,000
11,463,000,000
11,463,000,000
4.4637×10^11
4.4637 times 10 superscript 11 baseline
Apologies for the incorrect previous response. You are right.
The correct half-life of uranium-238, when considering the additional time of 4.463×10^11 years, is 4.4637×10^11 years in decimal form.
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
First, let's convert the 4.463×10^11 years to decimal form.
4.463 × 10^11 = 446300000000 years
Next, we add this value to the half-life of uranium-235.
700,000,000 years (half-life of uranium-235) + 446,300,000,000 years (additional time) = 447,000,000,000 years
Therefore, the half-life of uranium-238 is approximately 447,000,000,000 years in decimal form.
To find the half-life of uranium-238, we need to add the additional time to the half-life of uranium-235.
Given:
Half-life of uranium-235 = 700,000,000 years
Extra time for uranium-238 = 4.463×10^11 years
To get the half-life of uranium-238, we add the extra time to the half-life of uranium-235:
Half-life of uranium-238 = Half-life of uranium-235 + Extra time
Half-life of uranium-238 = 700,000,000 + 4.463×10^11
To simplify this calculation, we need to express 4.463×10^11 in decimal form:
4.463×10^11 = 446,300,000,000
Now we can substitute this value back into our equation:
Half-life of uranium-238 = 700,000,000 + 446,300,000,000
Calculating this sum:
Half-life of uranium-238 = 446,300,700,000
Thus, the half-life of uranium-238 is 446,300,700,000 years in decimal form.