10. What volume of 0.500 M HCI is needed to react completely with 0.100 mols of Pb(NO3)2? 2HCI + foCl, to2 HNQ 2

Chemistry
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This image displays a chemistry problem involving a reaction between hydrochloric acid (HCl) and lead(II) nitrate (Pb(NO₃)₂). The goal is to determine the volume of 0.500 M HCl needed to react completely with 0.100 moles of Pb(NO₃)₂.

### Problem Statement
10. What volume of 0.500 M HCl is needed to react completely with 0.100 mols of Pb(NO₃)₂?

### Solution
The balanced chemical equation for the reaction is:
\[ 2 \text{HCl} + \text{Pb(NO}_3\text{)}_2 \rightarrow \text{PbCl}_2 + 2 \text{HNO}_3 \]

**Step-by-step Calculation:**

1. **Mole Calculation:**
   \[
   \text{Moles of HCl required} = \frac{0.1}{2} = 0.05 \text{ mol}
   \]

2. **Volume Calculation:**
   \[
   V_{\text{HCl}} = \frac{\text{moles}}{\text{molarity}} = \frac{0.05}{0.5} = 0.1 \text{ L}
   \]

Thus, the volume of HCl needed is 0.1 liters, or 100 milliliters.

The solution uses stoichiometry to determine the amount of reactant required for the reaction. The volume calculation illustrates the use of molarity (concentration) in determining the needed quantity of a solution to react fully with a given amount of another reactant.
Transcribed Image Text:This image displays a chemistry problem involving a reaction between hydrochloric acid (HCl) and lead(II) nitrate (Pb(NO₃)₂). The goal is to determine the volume of 0.500 M HCl needed to react completely with 0.100 moles of Pb(NO₃)₂. ### Problem Statement 10. What volume of 0.500 M HCl is needed to react completely with 0.100 mols of Pb(NO₃)₂? ### Solution The balanced chemical equation for the reaction is: \[ 2 \text{HCl} + \text{Pb(NO}_3\text{)}_2 \rightarrow \text{PbCl}_2 + 2 \text{HNO}_3 \] **Step-by-step Calculation:** 1. **Mole Calculation:** \[ \text{Moles of HCl required} = \frac{0.1}{2} = 0.05 \text{ mol} \] 2. **Volume Calculation:** \[ V_{\text{HCl}} = \frac{\text{moles}}{\text{molarity}} = \frac{0.05}{0.5} = 0.1 \text{ L} \] Thus, the volume of HCl needed is 0.1 liters, or 100 milliliters. The solution uses stoichiometry to determine the amount of reactant required for the reaction. The volume calculation illustrates the use of molarity (concentration) in determining the needed quantity of a solution to react fully with a given amount of another reactant.
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