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

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

Options:

Correct Answer: 1.5 M

Solution:

Using the dilution formula M1V1 = M2V2, we have 3 M × 1 L = M2 × 2 L. Thus, M2 = 1.5 M.

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

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.