An iodized salt contains 0.5% of Nal. A person consumes 3 gm of salt everyday. The number of iodide ions going into his body everyday is

Options

A. `10^(-4)`
B. `6.02 times 10^(-4)`
C. `6.02 times 10^(19)`
D. `6.02 times 10^(23)`

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the amount of NaI in the salt consumed
Given that the iodized salt contains 0.5% NaI and a person consumes 3 grams of salt daily, we can find the amount of NaI in the consumed salt.

\[ \text{Amount of NaI} = \left( \frac{\text{Percentage of NaI}}{100} \right) \times \text{Amount of salt consumed} \]
\[ \text{Amount of NaI} = \left( \frac{0.5}{100} \right) \times 3 \, \text{g} = 0.015 \, \text{g} \]

### Step 2: Calculate the number of moles of NaI
Next, we need to calculate the number of moles of NaI. The molecular weight of NaI can be calculated as follows:

- Atomic weight of Na (Sodium) = 23 g/mol
- Atomic weight of I (Iodine) = 126.9044 g/mol
- Molecular weight of NaI = 23 + 126.9044 = 149.9044 g/mol (approximately 150 g/mol)

Now, we can calculate the number of moles of NaI:

\[ \text{Number of moles of NaI} = \frac{\text{Mass of NaI}}{\text{Molecular weight of NaI}} = \frac{0.015 \, \text{g}}{150 \, \text{g/mol}} = 0.0001 \, \text{mol} \]

### Step 3: Calculate the number of molecules of NaI
Using Avogadro's number (approximately \(6.022 \times 10^{23}\) molecules/mol), we can find the number of molecules of NaI:

\[ \text{Number of molecules of NaI} = \text{Number of moles} \times \text{Avogadro's number} \]
\[ \text{Number of molecules of NaI} = 0.0001 \, \text{mol} \times 6.022 \times 10^{23} \, \text{molecules/mol} \approx 6.022 \times 10^{19} \, \text{molecules} \]

### Step 4: Calculate the number of iodide ions
Since each molecule of NaI produces one iodide ion (I^-), the number of iodide ions will be equal to the number of molecules of NaI:

\[ \text{Number of iodide ions} = \text{Number of molecules of NaI} \approx 6.022 \times 10^{19} \, \text{iodide ions} \]

### Final Answer
The number of iodide ions going into the person's body every day is approximately \(6.022 \times 10^{19}\).

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