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.
To find the half-life of uranium-238, we need to add the additional time of 4.463×10^11 years to the half-life of uranium-235.
Half-life of Uranium-235 = 700,000,000 years.
Additional time for Uranium-238 = 4.463×10^11 years.
Therefore, half-life of Uranium-238 = 700,000,000 + 4.463×10^11 = 4.4637×10^11 years.
In decimal form, the half-life of Uranium-238 is approximately 446370000000.
To find the half-life of uranium-238, we need to calculate the difference in half-life between uranium-238 and uranium-235.
The half-life of uranium-238 (t₂) is 4.463×10^11 years longer than the half-life of uranium-235 (t₁).
Mathematically, we can express this as:
t₂ = t₁ + 4.463×10^11 years
Given that the half-life of uranium-235 is 700,000,000 years, we can substitute this value into the equation:
t₂ = 700,000,000 years + 4.463×10^11 years
Adding these values together, we get:
t₂ = 700,000,000 years + 446,300,000,000 years
Simplifying further, we have:
t₂ = 446,300,700,000 years
Therefore, the half-life of uranium-238 is approximately 446,300,700,000 years.
To find the half-life of uranium-238, we need to calculate the difference in half-life between uranium-238 and uranium-235.
Given:
Half-life of uranium-235 = 700,000,000 years
Half-life of uranium-238 is 4.463×10^11 years longer than uranium-235.
To find the half-life of uranium-238, we can use the following formula:
Half-life of uranium-238 = Half-life of uranium-235 + Difference in half-life
Difference in half-life = 4.463×10^11 years
Substituting the values into the formula, we have:
Half-life of uranium-238 = 700,000,000 years + 4.463×10^11 years
Now, add the two numbers:
Half-life of uranium-238 = 700,000,000 + 4.463×10^11
To simplify the calculation, you can convert the exponent notation to its decimal form.
4.463×10^11 can be written as 446,300,000,000
Half-life of uranium-238 = 700,000,000 + 446,300,000,000
Adding the numbers:
Half-life of uranium-238 = 446,300,700,000
Therefore, the half-life of uranium-238 is approximately 446,300,700,000 years.