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Sia

青州's Question
Chemistry
Posted 5 months ago

Youda:
1) How many grams of lead product would theoretically be produced between 17.0 g17.0 \mathrm{~g} potassium iodide, KI\mathrm{KI}, and 25.0 g25.0 \mathrm{~g} of lead (II) nitrate, Pb(NO3)\mathrm{Pb}\left(\mathrm{NO}_{3}\right) ?
2) How much excess reactant is left over when 17.0 g17.0 \mathrm{~g} of potassium hydroxide (KOH)(\mathrm{KOH}) reacts with 20.0 g20.0 \mathrm{~g} of iron (III) nitrate (Fe(NO3),)\left(\mathrm{Fe}\left(\mathrm{NO}_{3}\right),\right) ?
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Answer from Sia
Posted 5 months ago
Solution
1
Write the balanced chemical equation: The first step is to write the balanced chemical equation for the reaction between potassium iodide (KI) and lead (II) nitrate (Pb(NO3_3)2_2). The reaction produces lead iodide (PbI2_2) and potassium nitrate (KNO3_3). The balanced equation is: 2 \text{KI} + \text{Pb(NO}_3\text{)_2} \rightarrow 2 \text{KNO}_3 + \text{PbI}_2
2
Calculate the molar mass of reactants and product: The molar mass of KI is 166.00 g/mol, and the molar mass of Pb(NO3_3)2_2 is 331.20 g/mol. The molar mass of PbI2_2 is 461.01 g/mol
3
Determine the limiting reactant: Convert the mass of each reactant to moles to find the limiting reactant. For KI: 17.0 g166.00 g/mol=0.1024 mol KI\frac{17.0 \text{ g}}{166.00 \text{ g/mol}} = 0.1024 \text{ mol KI}. For Pb(NO3_3)2_2: \frac{25.0 \text{ g}}{331.20 \text{ g/mol}} = 0.0755 \text{ mol Pb(NO}_3\text{)_2}. Since the reaction requires 2 moles of KI for every 1 mole of Pb(NO3_3)2_2, KI is in excess and Pb(NO3_3)2_2 is the limiting reactant
4
Calculate the theoretical yield of PbI$_2$: Use the moles of the limiting reactant to find the theoretical yield of PbI2_2. Since 1 mole of Pb(NO3_3)2_2 produces 1 mole of PbI2_2, the moles of PbI2_2 produced will be equal to the moles of Pb(NO3_3)2_2: 0.0755 \text{ mol Pb(NO}_3\text{)_2} \times \frac{461.01 \text{ g/mol}}{1 \text{ mol PbI}_2} = 34.81 \text{ g PbI}_2
1 Answer
34.81 g of lead iodide (PbI2_2)
Key Concept
Limiting reactant determines the theoretical yield
Explanation
The amount of product formed in a chemical reaction is limited by the reactant that is completely consumed first, known as the limiting reactant.
Solution
1
Write the balanced chemical equation: The reaction between potassium hydroxide (KOH) and iron (III) nitrate (Fe(NO3_3)3_3) produces iron (III) hydroxide (Fe(OH)3_3) and potassium nitrate (KNO3_3). The balanced equation is: 3 \text{KOH} + \text{Fe(NO}_3\text{)_3} \rightarrow 3 \text{KNO}_3 + \text{Fe(OH)}_3
2
Calculate the molar mass of reactants: The molar mass of KOH is 56.11 g/mol, and the molar mass of Fe(NO3_3)3_3 is 241.86 g/mol
3
Determine the limiting reactant: Convert the mass of each reactant to moles to find the limiting reactant. For KOH: 17.0 g56.11 g/mol=0.3030 mol KOH\frac{17.0 \text{ g}}{56.11 \text{ g/mol}} = 0.3030 \text{ mol KOH}. For Fe(NO3_3)3_3: \frac{20.0 \text{ g}}{241.86 \text{ g/mol}} = 0.0827 \text{ mol Fe(NO}_3\text{)_3}. Since the reaction requires 3 moles of KOH for every 1 mole of Fe(NO3_3)3_3, KOH is in excess
4
Calculate the excess reactant remaining: Determine the amount of KOH that reacts with Fe(NO3_3)3_3. 0.0827 \text{ mol Fe(NO}_3\text{)_3} \times \frac{3 \text{ mol KOH}}{1 \text{ mol Fe(NO}_3\text{)_3}} = 0.2481 \text{ mol KOH}. Subtract this from the initial moles of KOH to find the excess: 0.3030 mol KOH0.2481 mol KOH=0.0549 mol KOH0.3030 \text{ mol KOH} - 0.2481 \text{ mol KOH} = 0.0549 \text{ mol KOH}. Convert this back to grams: 0.0549 mol KOH×56.11 g/mol1 mol KOH=3.08 g KOH0.0549 \text{ mol KOH} \times \frac{56.11 \text{ g/mol}}{1 \text{ mol KOH}} = 3.08 \text{ g KOH}
2 Answer
3.08 g of potassium hydroxide (KOH)
Key Concept
Excess reactant calculation
Explanation
After a reaction, the amount of excess reactant remaining can be calculated by subtracting the amount that reacted from the initial amount.

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