Question

The half life of Uranium 238 is 4.5 × 10 raised to power 9 years . The half life of Uranium 234 is 2.5 × 10 raised to power 5 years. How many times greater is the half life of Uranium 238 than that of uranium 234​

Answer 1

Given : The half life of Uranium-238 is 4.5 × 10^9 years. The half life of Uranium-234 is 2.5 × 10^5 years.

To find : How many times greater is the half life U-238 than that of U-234

solution : To many how many times greater, just divide larger value by smaller value.

I mean, divide half life of U-238 by half life of U-234.

here half life of U-238 = 4.5 × 10^9

half life of U-234 = 2.5 × 10^5

so half of U-238/half life of U-234 = 4.5 × 10^9/2.5 × 10^5

= (9/5) × 10⁴

= 1.8 × 10⁴

Therefore half life of U-238 is 1.8 × 10⁴ times greater than that of U-234.