How many grams of KCl are needed to prepare 250 mL of a 2 M solution? (Molar mas

Practice Questions

Q1
How many grams of KCl are needed to prepare 250 mL of a 2 M solution? (Molar mass of KCl = 74.5 g/mol) (2023)
  1. 37.25 g
  2. 74.5 g
  3. 18.625 g
  4. 9.25 g

Questions & Step-by-Step Solutions

How many grams of KCl are needed to prepare 250 mL of a 2 M solution? (Molar mass of KCl = 74.5 g/mol) (2023)
  • Step 1: Understand that Molarity (M) is defined as moles of solute per liter of solution.
  • Step 2: Identify the desired molarity of the solution, which is 2 M (2 moles per liter).
  • Step 3: Convert the volume of the solution from milliliters to liters. Since 250 mL is equal to 0.25 L, we have 0.25 L.
  • Step 4: Calculate the number of moles needed using the formula: moles = Molarity × Volume. So, moles = 2 moles/L × 0.25 L = 0.5 moles.
  • Step 5: Use the molar mass of KCl, which is 74.5 g/mol, to find the mass in grams. Use the formula: grams = moles × molar mass.
  • Step 6: Substitute the values into the formula: grams = 0.5 moles × 74.5 g/mol = 37.25 g.
  • Step 7: Conclude that you need 37.25 grams of KCl to prepare the solution.
  • Molarity – Molarity (M) is a measure of concentration defined as moles of solute per liter of solution.
  • Molar Mass – Molar mass is the mass of one mole of a substance, expressed in grams per mole.
  • Volume Conversion – Understanding how to convert milliliters to liters is essential for calculating moles from molarity.
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