CI + AgNO3 AgCl + NO₂ If the reaction makes 0.003g of AgCl then about how many grams of CI was in the water? (Show your work)

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Chemical Reaction Problem**

The given chemical reaction is:

\[ \text{Cl}^- + \text{AgNO}_3 \rightarrow \text{AgCl} + \text{NO}_3^- \]

**Problem Statement:**

If the reaction makes 0.003 g of AgCl, how many grams of Cl⁻ were in the water? (Show your work)

**Explanation:**

In this reaction, chloride ions (Cl⁻) react with silver nitrate (AgNO₃) to form silver chloride (AgCl) and nitrate ions (NO₃⁻). This particular question is asking for the mass of chloride ion (Cl⁻) that was needed to produce a given mass of silver chloride (AgCl). 

To find out how many grams of chloride ions were in the water, we need to follow these steps:

1. Calculate the molar mass of AgCl.
2. Determine moles of AgCl produced.
3. Use stoichiometry to find moles of Cl⁻.
4. Convert moles of Cl⁻ to grams.

**Solution:**

1. **Calculate the molar mass of AgCl:**

\[ \text{Molar mass of AgCl} = \text{Molar mass of Ag} + \text{Molar mass of Cl} \]
\[ \text{= 107.87 g/mol (Ag) + 35.45 g/mol (Cl)} \]
\[ \text{= 143.32 g/mol} \]

2. **Determine moles of AgCl produced:**

\[ \text{Moles of AgCl} = \frac{\text{Mass of AgCl}}{\text{Molar mass of AgCl}} \]
\[ \text{= } \frac{0.003 \text{ g}}{143.32 \text{ g/mol}} \]
\[ \text{= 2.09} \times 10^{-5} \text{ mol} \]

3. **Use stoichiometry to find moles of Cl⁻:**

According to the balanced equation, 1 mole of AgCl is produced from 1 mole of Cl⁻. Therefore, moles of Cl⁻ is the same as moles of AgCl:

\[ \text{Moles of Cl}^- = 2.09 \times 10^{-5} \text{ mol} \]

4.
Transcribed Image Text:**Chemical Reaction Problem** The given chemical reaction is: \[ \text{Cl}^- + \text{AgNO}_3 \rightarrow \text{AgCl} + \text{NO}_3^- \] **Problem Statement:** If the reaction makes 0.003 g of AgCl, how many grams of Cl⁻ were in the water? (Show your work) **Explanation:** In this reaction, chloride ions (Cl⁻) react with silver nitrate (AgNO₃) to form silver chloride (AgCl) and nitrate ions (NO₃⁻). This particular question is asking for the mass of chloride ion (Cl⁻) that was needed to produce a given mass of silver chloride (AgCl). To find out how many grams of chloride ions were in the water, we need to follow these steps: 1. Calculate the molar mass of AgCl. 2. Determine moles of AgCl produced. 3. Use stoichiometry to find moles of Cl⁻. 4. Convert moles of Cl⁻ to grams. **Solution:** 1. **Calculate the molar mass of AgCl:** \[ \text{Molar mass of AgCl} = \text{Molar mass of Ag} + \text{Molar mass of Cl} \] \[ \text{= 107.87 g/mol (Ag) + 35.45 g/mol (Cl)} \] \[ \text{= 143.32 g/mol} \] 2. **Determine moles of AgCl produced:** \[ \text{Moles of AgCl} = \frac{\text{Mass of AgCl}}{\text{Molar mass of AgCl}} \] \[ \text{= } \frac{0.003 \text{ g}}{143.32 \text{ g/mol}} \] \[ \text{= 2.09} \times 10^{-5} \text{ mol} \] 3. **Use stoichiometry to find moles of Cl⁻:** According to the balanced equation, 1 mole of AgCl is produced from 1 mole of Cl⁻. Therefore, moles of Cl⁻ is the same as moles of AgCl: \[ \text{Moles of Cl}^- = 2.09 \times 10^{-5} \text{ mol} \] 4.
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