Find the half life of `U^(238)`, if one gram of it emits `1.24xx10^4` `alpha`-particle per second. Avogadro's Number `=6.023xx10^(23)`.
Text Solution
AI Generated Solution
To find the half-life of Uranium-238 (U-238) given that 1 gram emits \(1.24 \times 10^4\) alpha particles per second, we will follow these steps:
### Step 1: Determine the number of atoms in 1 gram of U-238
The number of atoms \(N\) in 1 gram of U-238 can be calculated using Avogadro's number (\(N_A\)) and the atomic mass (\(A\)) of U-238.
\[
N = \frac{N_A}{A}
\]
...
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