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General Chemistry Chapter 4 Worksheet Guidance: Solutions, Molarity, and Redox Balancing

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Q1. What is the molarity of a solution prepared by dissolving 10.19 g of ethanol (CH3CH2OH) in enough water to produce 250.0 mL of solution?

Background

Topic: Solution Concentration (Molarity)

This question tests your ability to calculate molarity, which is a measure of the concentration of a solute in a solution.

Key Terms and Formulas:

  • Molarity ():

  • Moles:

  • Molar mass of ethanol (): Calculate using atomic masses.

Step-by-Step Guidance

  1. Calculate the molar mass of ethanol (): Add up the atomic masses for C, H, and O.

  2. Find the number of moles of ethanol:

  3. Convert the volume of solution from mL to L:

  4. Set up the molarity formula:

Try solving on your own before revealing the answer!

Final Answer: 0.892 M

Molar mass of ethanol:

Moles:

Molarity:

The solution has a molarity of 0.892 M.

Q2. What is the mass of chloride ions in a 375 mL of a 0.250 M solution of magnesium chloride?

Background

Topic: Solution Stoichiometry

This question tests your ability to calculate the mass of ions in a solution, using molarity and stoichiometry.

Key Terms and Formulas:

  • Molarity ():

  • Magnesium chloride formula:

  • Stoichiometry: Each mole of gives 2 moles of

  • Mass:

Step-by-Step Guidance

  1. Convert 375 mL to liters:

  2. Calculate moles of :

  3. Determine moles of : Multiply moles of by 2.

  4. Calculate mass of :

Try solving on your own before revealing the answer!

Final Answer: 6.66 g

Moles of :

Moles of :

Mass of :

There are 6.66 grams of chloride ions in the solution.

Q3. What volume of a 2.00 M stock solution of NaOH is required to prepare 50.0 mL of a 0.400 M solution of NaOH?

Background

Topic: Solution Dilution

This question tests your ability to use the dilution equation to prepare a solution of desired concentration.

Key Terms and Formulas:

  • Dilution equation:

  • = initial (stock) molarity, = volume of stock solution

  • = final molarity, = final volume

Step-by-Step Guidance

  1. Identify the known values: , ,

  2. Set up the dilution equation:

  3. Rearrange to solve for :

  4. Plug in the values, but do not calculate the final volume yet.

Try solving on your own before revealing the answer!

Final Answer: 10.0 mL

You need 10.0 mL of the 2.00 M stock solution to prepare 50.0 mL of 0.400 M NaOH.

Q4. What volume of 0.250 M HCl is needed to react completely with 25.00 mL of 0.375 M Na2CO3?

Background

Topic: Stoichiometry of Acid-Base Reactions

This question tests your ability to use stoichiometry and molarity to determine the volume of one reactant needed to react with another.

Key Terms and Formulas:

  • Balanced equation:

  • Moles: (with V in liters)

  • Stoichiometry: 1 mole reacts with 2 moles

Step-by-Step Guidance

  1. Calculate moles of :

  2. Use stoichiometry to find moles of needed: Multiply moles of by 2.

  3. Set up the equation for volume of :

  4. Leave the calculation for the student to complete.

Try solving on your own before revealing the answer!

Final Answer: 75.0 mL

Moles of :

Moles of :

Volume of :

You need 75.0 mL of 0.250 M HCl to react completely with 25.00 mL of 0.375 M Na2CO3.

Q5. The concentration of a KMnO4 solution can be determined by titration with a known amount of oxalic acid, H2C2O4, according to the following reaction:

5H2C2O4(aq) + 2 KMnO4(aq) + 3H2SO4(aq) → 10 CO2 (g) + 2 MnSO4(aq) + K2SO4(aq) + 8 H2O(l)

What is the concentration of KMnO4 solution if 22.35 mL reacts with 0.5170 g of oxalic acid?

Background

Topic: Titration and Redox Stoichiometry

This question tests your ability to use titration data and stoichiometry to determine the concentration of a solution.

Key Terms and Formulas:

  • Moles:

  • Stoichiometry: 5 moles react with 2 moles

  • Molarity:

Step-by-Step Guidance

  1. Calculate the molar mass of oxalic acid ().

  2. Find moles of oxalic acid:

  3. Use the reaction stoichiometry to find moles of that reacted.

  4. Convert 22.35 mL to liters:

  5. Set up the molarity formula for :

Try solving on your own before revealing the answer!

Final Answer: 0.102 M

Molar mass of oxalic acid:

Moles of oxalic acid:

Stoichiometry: moles

Molarity:

The concentration of the KMnO4 solution is 0.102 M.

Q6. Balance the following redox reactions under acidic conditions:

Background

Topic: Redox Reaction Balancing

This question tests your ability to balance redox reactions using the half-reaction method, both in acidic and basic solutions.

Key Terms and Formulas:

  • Half-reaction method: Split into oxidation and reduction, balance atoms, electrons, and add or as needed.

  • In acidic solution: Use and to balance.

  • In basic solution: Use and to balance.

Step-by-Step Guidance

  1. For each reaction, identify oxidation and reduction half-reactions.

  2. Balance all atoms except H and O.

  3. Balance O by adding , then H by adding (acidic) or (basic).

  4. Balance charge by adding electrons.

  5. Combine half-reactions and check overall balance.

  6. For basic solution, add to both sides to neutralize and form .

Try balancing on your own before revealing the answer!

Final Answers:

a) Acidic:

b) Acidic:

c) Acidic:

d) Basic:

Each equation is balanced using the half-reaction method, with appropriate addition of or depending on the conditions.

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