How many atoms of `0.1 g`-atom of a radioactive isotope `._(Z)X^(A)` (half = 5 days) will decay during the 11th day?

Explanation

To solve the problem of how many atoms of a radioactive isotope \( _{Z}X^{A} \) will decay during the 11th day, we can follow these steps:

### Step 1: Understand the Initial Conditions
We start with \( 0.1 \) gram-atom of the isotope. Since \( 1 \) gram-atom corresponds to \( 1 \) mole, \( 0.1 \) gram-atom means we have \( 0.1 \) moles of the isotope.

### Step 2: Calculate the Number of Atoms Initially
Using Avogadro's number (\( 6.022 \times 10^{23} \) atoms/mole), we can calculate the initial number of atoms:
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