The half-life of uranium-235 is 700,000,000 years. The half-life of uranium-238 is 4.463×10^11

Question

years longer. What is the half-life of uranium-238? The answer should be in decimal form.(1 point)
Responses

447,000,000,000

11,463,000,000

516,300,000,000

4.4637×10^11

Answer 1

To find the half-life of uranium-238, we can add the half-life of uranium-235 to the additional time given:

The half-life of uranium-235 is \( 700,000,000 \) years.

The half-life of uranium-238 is \( 4.463 \times 10^{11} \) years longer than that of uranium-235.

First, we need to convert \( 4.463 \times 10^{11} \) years into decimal form.

Calculating this gives: \[ 4.463 \times 10^{11} = 446,300,000,000 \text{ years} \]

Now, we can find the half-life of uranium-238 by adding this to the half-life of uranium-235: \[ \text{Half-life of uranium-238} = 700,000,000 + 446,300,000,000 \]

Calculating this: \[ 700,000,000 + 446,300,000,000 = 447,000,000,000 \text{ years} \]

So, the half-life of uranium-238 is \( 447,000,000,000 \) years.

The correct answer is: 447,000,000,000.