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 add the additional duration of 4.463×10^11 years to the half-life of uranium-235.
Half-life of uranium-238 = Half-life of uranium-235 + Additional duration
Half-life of uranium-238 = 700,000,000 years + 4.463×10^11 years
Using scientific notation, we can add these two numbers:
Half-life of uranium-238 = 700,000,000 years + 446,300,000,000 years
= 446,300,700,000 years
Therefore, the half-life of uranium-238 is 446,300,700,000 years. In decimal form, it is approximately 4.463×10^11 years.
To find the half-life of uranium-238, we need to determine the additional time compared to the half-life of uranium-235.
Given:
Half-life of uranium-235 = 700,000,000 years
Difference in half-life with uranium-238 = 4.463×10^11 years
To calculate the half-life of uranium-238:
Half-life of uranium-238 = Half-life of uranium-235 + Difference in half-life
Half-life of uranium-238 = 700,000,000 years + 4.463×10^11 years
Adding these two values together:
Half-life of uranium-238 = 7.0 × 10^8 years + 4.463 × 10^11 years
Note: When adding the two numbers in scientific notation, make sure the exponents are the same. In this case, we are working with the exponent of 11.
To combine the two numbers, we need to convert the half-life of uranium-235 (7.0 × 10^8) to scientific notation with an exponent of 11:
7.0 × 10^8 = 7.0 × 10^8 × 10^3 × 10^-3 = 7.0 × 10^11 × 10^-3
Now that the exponents are the same, we can add the two numbers:
Half-life of uranium-238 = 7.0 × 10^11 × 10^-3 + 4.463 × 10^11
Now we add the two terms,
Half-life of uranium-238 = (7.0 + 4.463) × 10^11
Simplifying the calculation,
Half-life of uranium-238 = 11.463 × 10^11 years
Converting to decimal form:
Half-life of uranium-238 = 1.1463 × 10^12 years
Therefore, the half-life of uranium-238 is approximately 1.1463 × 10^12 years in decimal form.
To find the half-life of uranium-238, we need to first determine the difference in half-life between uranium-235 and uranium-238.
We are given that the half-life of uranium-235 is 700,000,000 years.
The half-life of uranium-238 is described as "4.463×10^11 years longer." This means that the half-life of uranium-238 is the half-life of uranium-235 plus 4.463×10^11 years.
To calculate the half-life of uranium-238:
Half-life of uranium-238 = Half-life of uranium-235 + 4.463×10^11 years.
Plugging in the given value:
Half-life of uranium-238 = 700,000,000 years + 4.463×10^11 years.
When adding these two values, we obtain:
Half-life of uranium-238 = 4.463×10^11 + 700,000,000.
To express the answer in decimal form, we can add the two values on the right-hand side of the equation:
Half-life of uranium-238 ≈ 446,300,000,700 years.
Therefore, the half-life of uranium-238 is approximately 446,300,000,700 years (in decimal form).