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

Practice Questions

Q1
If 1 liter of a 2 M solution is diluted to 3 liters, what is the new molarity?
  1. 0.67 M
  2. 1 M
  3. 1.5 M
  4. 2 M

Questions & Step-by-Step Solutions

If 1 liter of a 2 M solution is diluted to 3 liters, what is the new molarity?
  • Step 1: Identify the initial molarity (M1) and volume (V1) of the solution. Here, M1 = 2 M and V1 = 1 L.
  • Step 2: Identify the final volume (V2) after dilution. Here, V2 = 3 L.
  • Step 3: Use the dilution formula: M1 * V1 = M2 * V2.
  • Step 4: Substitute the known values into the formula: (2 M) * (1 L) = M2 * (3 L).
  • Step 5: Calculate the left side: 2 M * 1 L = 2 mol.
  • Step 6: Set up the equation: 2 mol = M2 * 3 L.
  • Step 7: Solve for M2 by dividing both sides by 3 L: M2 = 2 mol / 3 L.
  • Step 8: Calculate M2: M2 = 0.67 M.
  • Dilution of Solutions – Understanding how to calculate the new molarity after diluting a solution using the formula M1V1 = M2V2.
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