If 1 L of a 3 M solution is diluted to 2 L, what is the new molarity?

Practice Questions

Q1
If 1 L of a 3 M solution is diluted to 2 L, what is the new molarity?
  1. 1.5 M
  2. 3 M
  3. 6 M
  4. 0.5 M

Questions & Step-by-Step Solutions

If 1 L of a 3 M solution is diluted to 2 L, what is the new molarity?
  • Step 1: Identify the initial molarity (M1) and volume (V1) of the solution. Here, M1 = 3 M and V1 = 1 L.
  • Step 2: Identify the final volume (V2) after dilution. Here, V2 = 2 L.
  • Step 3: Use the dilution formula, which is M1 × V1 = M2 × V2, where M2 is the new molarity we want to find.
  • Step 4: Substitute the known values into the formula: 3 M × 1 L = M2 × 2 L.
  • Step 5: Calculate the left side: 3 M × 1 L = 3 moles.
  • Step 6: Set up the equation: 3 moles = M2 × 2 L.
  • Step 7: Solve for M2 by dividing both sides by 2 L: M2 = 3 moles / 2 L.
  • Step 8: Calculate M2: M2 = 1.5 M.
  • Dilution of Solutions – Understanding how to calculate the new molarity after diluting a solution using the formula M1V1 = M2V2.
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