What quantity in moles of precipitate will be formed when 176.0 mL of 0.200 M NaBr is reacted with excess Pb(NO3), in the following chemical reaction? 2 NaBr (aq) + Pb(NO₂)₂ (aq) → PbBr₂ (s) + 2 NaNO₂ (aq) 3

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Chapter1: Chemical Foundations
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**Question:**

What quantity in moles of precipitate will be formed when 176.0 mL of 0.200 M NaBr is reacted with excess Pb(NO₃)₂ in the following chemical reaction?

\[ 2 \text{NaBr (aq)} + \text{Pb(NO₃)₂ (aq)} \rightarrow \text{PbBr₂ (s)} + 2 \text{NaNO₃ (aq)} \]

**Explanation:**

This chemical equation describes a precipitation reaction where aqueous sodium bromide (NaBr) reacts with lead(II) nitrate (Pb(NO₃)₂) to form solid lead(II) bromide (PbBr₂) as a precipitate and aqueous sodium nitrate (NaNO₃).

To find the number of moles of precipitate (PbBr₂) produced:

1. **Calculate Moles of NaBr:**
   \[
   \text{Moles of NaBr} = \text{Volume (L) of NaBr} \times \text{Molarity of NaBr}
   \]
   Given: 176.0 mL = 0.176 L, and 0.200 M NaBr

   \[
   \text{Moles of NaBr} = 0.176 \, \text{L} \times 0.200 \, \text{mol/L} = 0.0352 \, \text{mol}
   \]

2. **Use Stoichiometry:**
   According to the balanced chemical equation, 2 moles of NaBr react with 1 mole of Pb(NO₃)₂ to produce 1 mole of PbBr₂.

   \[
   \text{Moles of PbBr₂} = \frac{0.0352 \, \text{mol NaBr}}{2} = 0.0176 \, \text{mol PbBr₂}
   \]

Therefore, 0.0176 moles of lead(II) bromide precipitate will be formed.
Transcribed Image Text:**Question:** What quantity in moles of precipitate will be formed when 176.0 mL of 0.200 M NaBr is reacted with excess Pb(NO₃)₂ in the following chemical reaction? \[ 2 \text{NaBr (aq)} + \text{Pb(NO₃)₂ (aq)} \rightarrow \text{PbBr₂ (s)} + 2 \text{NaNO₃ (aq)} \] **Explanation:** This chemical equation describes a precipitation reaction where aqueous sodium bromide (NaBr) reacts with lead(II) nitrate (Pb(NO₃)₂) to form solid lead(II) bromide (PbBr₂) as a precipitate and aqueous sodium nitrate (NaNO₃). To find the number of moles of precipitate (PbBr₂) produced: 1. **Calculate Moles of NaBr:** \[ \text{Moles of NaBr} = \text{Volume (L) of NaBr} \times \text{Molarity of NaBr} \] Given: 176.0 mL = 0.176 L, and 0.200 M NaBr \[ \text{Moles of NaBr} = 0.176 \, \text{L} \times 0.200 \, \text{mol/L} = 0.0352 \, \text{mol} \] 2. **Use Stoichiometry:** According to the balanced chemical equation, 2 moles of NaBr react with 1 mole of Pb(NO₃)₂ to produce 1 mole of PbBr₂. \[ \text{Moles of PbBr₂} = \frac{0.0352 \, \text{mol NaBr}}{2} = 0.0176 \, \text{mol PbBr₂} \] Therefore, 0.0176 moles of lead(II) bromide precipitate will be formed.
**Question:**

What volume (in mL) of 0.300 M HCl would be required to completely react with 4.65 g of Al in the following chemical reaction?

\[ 2 \text{Al(s)} + 6 \text{HCl(aq)} \rightarrow 2 \text{AlCl}_3 \text{(aq)} + 3 \text{H}_2 \text{(g)} \]

**Explanation:**

The given chemical reaction shows that aluminum (Al) reacts with hydrochloric acid (HCl) to produce aluminum chloride (AlCl₃) and hydrogen gas (H₂). The stoichiometry of the reaction indicates that 2 moles of Al react with 6 moles of HCl.

To determine the volume of HCl required:

1. **Calculate moles of aluminum (Al):**
   - Molar mass of Al = 26.98 g/mol
   - Moles of Al = mass of Al / molar mass of Al = 4.65 g / 26.98 g/mol

2. **Use stoichiometry to find moles of HCl:**
   - According to the reaction, 2 moles of Al react with 6 moles of HCl.
   - Therefore, calculate moles of HCl needed for the moles of Al calculated.

3. **Calculate the volume of HCl solution:**
   - Molarity (M) of HCl = moles of solute / volume of solution in liters
   - Rearrange to find volume: Volume = moles of HCl / Molarity of HCl
   - Convert the volume from liters to milliliters.

By following this process, you will determine the required volume of 0.300 M HCl solution to react completely with 4.65 g of aluminum.
Transcribed Image Text:**Question:** What volume (in mL) of 0.300 M HCl would be required to completely react with 4.65 g of Al in the following chemical reaction? \[ 2 \text{Al(s)} + 6 \text{HCl(aq)} \rightarrow 2 \text{AlCl}_3 \text{(aq)} + 3 \text{H}_2 \text{(g)} \] **Explanation:** The given chemical reaction shows that aluminum (Al) reacts with hydrochloric acid (HCl) to produce aluminum chloride (AlCl₃) and hydrogen gas (H₂). The stoichiometry of the reaction indicates that 2 moles of Al react with 6 moles of HCl. To determine the volume of HCl required: 1. **Calculate moles of aluminum (Al):** - Molar mass of Al = 26.98 g/mol - Moles of Al = mass of Al / molar mass of Al = 4.65 g / 26.98 g/mol 2. **Use stoichiometry to find moles of HCl:** - According to the reaction, 2 moles of Al react with 6 moles of HCl. - Therefore, calculate moles of HCl needed for the moles of Al calculated. 3. **Calculate the volume of HCl solution:** - Molarity (M) of HCl = moles of solute / volume of solution in liters - Rearrange to find volume: Volume = moles of HCl / Molarity of HCl - Convert the volume from liters to milliliters. By following this process, you will determine the required volume of 0.300 M HCl solution to react completely with 4.65 g of aluminum.
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