**Educational Website Text:**A 67.0 mL aliquot of a 1.20 M solution is diluted to a total volume of 288 mL. A 144 mL portion of that solution is diluted by adding 181 mL of water. What is the final concentration? Assume the volumes are additive.concentration: [input box] M**Explanation:**This exercise involves understanding dilution and concentration calculations in chemistry. Here, a solution is subjected to two dilution steps, and we need to determine the final concentration after these processes. Dilutions can be calculated using the formula \( C_1V_1 = C_2V_2 \), where \( C \) is the concentration and \( V \) is the volume. The challenge is to apply this formula in a stepwise manner to derive the final concentration.

Given :Initial concentration of solution = 1.20 M Initial volume of solution = 67.0 mL And final volume of solution 1 = 288 mL Since the process is dilution only i.e addition of water. Hence moles of solute in initial solution = moles of solute in final solution Since moles = concentration X volume of solution => Initial concentration of solution X Initial volume of solution = Final concentration of solution 1 X final volume of solution 1. Hence substituting the values we get, => 1.20 X 67.0 = Final concentration of solution 1 X 288 => Final concentration of solution 1 = 0.2792 M approx. Now in solution 1, 181 mL of water is added to 144 mL of solution 1. Hence the final volume of solution = volume of solution 1 taken + volume of water added = 144 + 181 = 325 mL Since moles of solute in 144 mL solution = moles of solute in final 325 mL solution (because only water is being added) => Concentration of final solution X volume of final solution = concentration of solution 1 X volume of solution 1 taken Hence substituting the values we get, => Concentration of final solution X 325 = 0.2792 X 144 => Concentration of final solution = 0.1237 M approx.

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A 67.0 mL aliquot of a 1.20 M solution is diluted to a total volume of 288 mL. A 144 mL portion of that solution is diluted by adding 181 mL of water. What is the final concentration? Assume the volumes are additive.

A 67.0 mL aliquot of a 1.20 M solution is diluted to a total volume of 288 mL. A 144 mL portion of that solution is diluted by adding 181 mL of water. What is the final concentration? Assume the volumes are additive.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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