MATH SOLVE

3 months ago

Q:
# The half-life of uranium-238 is 4.5x10^9 years. The half-life of uranium-234 is 2.5x10^5 years. How many times greater is the half-life of uranium-238 that of uranium-234

Accepted Solution

A:

Answer:Half-life of uranium-238 [tex]18 \times 10^{3} \text { times greater }[/tex] that of uranium-234Explanation:Half time of uranium-238 = [tex]4.5\times 10^9[/tex] years
Half time of Uranium-234 = [tex]2.5\times 10^5[/tex] years
To find how much times greater the half life of uranium-238 is from uranium-234
= [tex]\frac{\text { Half life of Uranium-238 }}{\text { Half time of Uranium - 234 }}[/tex]=[tex]\frac{4.5 \times 10^{9}}{2.5 \times 10^{5}}[/tex]=[tex]18 \times 10^{3} \text { times greater }[/tex]Hence Uranium-238 is [tex]18 \times 10^{3} \text { times greater }[/tex] than Uranium-234