You have 0.1gram-atom of a radioactive isotope `""_(Z)^(A)X` (half-life =5 days). How many number of atoms will decay during the eleventh day?

Explanation

To solve the problem of how many atoms of a radioactive isotope decay during the 11th day, we can follow these steps:

### Step 1: Calculate the total number of atoms in 0.1 gram-atom of the isotope.
The number of atoms in a given amount of substance can be calculated using Avogadro's number (approximately \(6.022 \times 10^{23}\) atoms/mol).

\[ \text{Total number of atoms} = 0.1 \, \text{gram-atom} \times 6.022 \times 10^{23} \, \text{atoms/gram-atom} = 6.022 \times 10^{22} \, \text{atoms} \]
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