Question 7.sp.10: What is the concentration of a solution formed by diluting 5...

What is the concentration of a solution formed by diluting 5.0 mL of a 3.2 M glucose solution to 40.0 mL?
Analysis
Since we know an initial molarity and volume (M_{1} and V_{1}) and a final volume (V_{2}), we can calculate a new molarity (M_{2}) using the equation M_{1}V_{1} = M_{2}V_{2}.

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[1] Identify the known quantities and the desired quantity.

M_{1}= 3.2 M
V_{1}= 5.0 mL           V_{2}= 40.0 mL
known quantities

M_{2}= ?
desired quantity

[2] Write the equation and rearrange it to isolate the desired quantity, M_{2}, on one side.

[3] Solve the problem.
• Substitute the three known quantities into the equation and solve for M_{2}.

 

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