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Aqueous solutions of iron(II) chloride and sodium sulfide react to form iron(II) sulfide and sodium chloride. (a) Write the balanced equation for the reaction. (b) If you combine \(40 .\) g each of \(\mathrm{Na}_{2} \mathrm{S}\) and \(\mathrm{FeCl}_{2}\) what is the limiting reactant? (c) What mass of FeS is produced? (d) What mass of \(\mathrm{Na}_{2} \mathrm{S}\) or \(\mathrm{FeCl}_{2}\) remains after the reaction? (e) What mass of \(\mathrm{FeCl}_{2}\) is required to react completely with \(40 .\) g of \(\mathrm{Na}_{2} \mathrm{S}\) ?

Short Answer

Expert verified
(a) FeCl₂ + Na₂S → FeS + 2NaCl. (b) FeCl₂ is the limiting reactant. (c) 27.52 g of FeS is produced. (d) 15.61 g of Na₂S remains. (e) 65.55 g of FeCl₂ is required.

Step by step solution

01

Write the Balanced Equation

Identify the reactants and products involved in the chemical reaction. The reactants are iron(II) chloride (FeClâ‚‚) and sodium sulfide (Naâ‚‚S), and the products are iron(II) sulfide (FeS) and sodium chloride (NaCl). The balanced chemical equation is: \[\text{FeCl}_2 + \text{Na}_2\text{S} \rightarrow \text{FeS} + 2\text{NaCl}\]
02

Determine Molar Masses

Calculate the molar masses of each compound: - FeClâ‚‚: (55.85 + 2(35.45)) g/mol = 127.75 g/mol - Naâ‚‚S: (2(22.99) + 32.07) g/mol = 78.05 g/mol - FeS: (55.85 + 32.07) g/mol = 87.92 g/mol
03

Calculate Moles of Reactants

Find the number of moles of each reactant: - Moles of FeClâ‚‚ = \(\frac{40}{127.75} = 0.313\) mol - Moles of Naâ‚‚S = \(\frac{40}{78.05} = 0.513\) mol
04

Identify the Limiting Reactant

Determine the limiting reactant by comparing the stoichiometric amounts from the balanced equation: - From the equation, 1 mol of FeClâ‚‚ reacts with 1 mol of Naâ‚‚S. - Since 0.313 mol FeClâ‚‚ < 0.513 mol Naâ‚‚S, FeClâ‚‚ is the limiting reactant.
05

Calculate Mass of FeS Produced

Using the moles of limiting reactant (FeClâ‚‚), calculate the moles and then mass of FeS produced:- Moles of FeS = Moles of FeClâ‚‚ = 0.313 mol- Mass of FeS = \(0.313 \times 87.92 = 27.52\) g
06

Calculate Remaining Reactant Mass

Determine the remaining amount of Naâ‚‚S. Since Naâ‚‚S is in excess:- Moles of Naâ‚‚S used = Moles of FeClâ‚‚ = 0.313 mol- Remaining moles of Naâ‚‚S = 0.513 - 0.313 = 0.200 mol- Mass of remaining Naâ‚‚S = \(0.200 \times 78.05 = 15.61\) g
07

Calculate FeClâ‚‚ for 40g Naâ‚‚S

To find the mass of FeClâ‚‚ required to completely react with 40 g of Naâ‚‚S, use:- 40 g Naâ‚‚S corresponds to 0.513 mol- Moles of FeClâ‚‚ needed = 0.513 mol (from stoichiometry)- Mass of FeClâ‚‚ = \(0.513 \times 127.75 = 65.55\) g

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Balanced Equation
A balanced chemical equation is crucial to understand any chemical reaction. For the reaction between iron(II) chloride (FeClâ‚‚) and sodium sulfide (Naâ‚‚S), the balanced equation aligns the quantities of each element on both sides of the reaction. This ensures that the law of conservation of mass is followed, which states that matter cannot be created or destroyed in a chemical reaction.

The goal is to have the same number of each type of atom in the reactants as in the products. In our case, the balanced equation is:\[\text{FeCl}_2 + \text{Na}_2\text{S} \rightarrow \text{FeS} + 2\text{NaCl}\]From this equation:
  • 1 mole of FeClâ‚‚ reacts with 1 mole of Naâ‚‚S
  • produces 1 mole of FeS and 2 moles of NaCl
The balancing process involves adding coefficients to the chemical formulas to balance the atoms on each side, ensuring the same number appear both as reactants and as products. This is essential for accurately determining stoichiometric relationships in the reaction.
Molar Mass
Molar mass is one of the key concepts for converting between grams and moles in chemical reactions. Every chemical compound has a molar mass, which is the mass of one mole of that compound, measured in grams per mole (g/mol). Understanding molar mass allows you to relate the quantity of a substance in terms of moles, which is essential in stoichiometry.

For our reaction, the molar masses are calculated as follows:
  • FeClâ‚‚: (55.85 + 2(35.45)) = 127.75 g/mol
  • Naâ‚‚S: (2(22.99) + 32.07) = 78.05 g/mol
  • FeS: (55.85 + 32.07) = 87.92 g/mol
Knowing these molar masses aids in converting between grams of the substances and moles, which is pivotal when determining the limiting reactant and calculating how much product will form. Use the formula:\[\text{Moles of compound} = \frac{\text{Mass (g)}}{\text{Molar Mass (g/mol)}}\]This formula helps convert the given mass of a reactant to moles, the standard unit of measure for quantity in chemistry.
Chemical Reaction Stoichiometry
Stoichiometry in chemical reactions involves using a balanced equation to calculate the quantities of reactants and products. It allows chemists to predict how much product will be formed from a given amount of reactant, as well as identify the limiting reactant. The limiting reactant is the substance that is entirely consumed first, stopping further reaction.

For the reaction between FeClâ‚‚ and Naâ‚‚S, stoichiometry shows that 1 mole of FeClâ‚‚ will react with 1 mole Naâ‚‚S, following a 1:1 ratio. From our problem, we have:
  • 0.313 mol of FeClâ‚‚
  • 0.513 mol of Naâ‚‚S
Since you have fewer moles of FeClâ‚‚, it is the limiting reactant. This means that the amount of FeClâ‚‚ will determine the maximum amount of FeS that can be produced. The excess reactant, Naâ‚‚S, will have some of its original mass left unreacted.

Using stoichiometry:
  • Identify the limiting reactant using the balanced equation's ratios
  • Calculate the moles of product formed based on the moles of limiting reactant
  • Determine the remaining mass of the excess reactant
Such detailed analysis is key to determining quantities precisely in chemistry.

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Most popular questions from this chapter

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