Chapter 12: Problem 104

Your assistant tells you he measured out \(116.886\) \(\mathrm{g}\) of \(\mathrm{NaCl}\) and then added exactly \(1.00 \mathrm{~L}\) of water to it to prepare a \(2.00 \mathrm{M}\) solution of \(\mathrm{NaCl}\). Do you fire him or give him a promotion? Explain.

Short Answer

Expert verified

After calculating the molarity of the NaCl solution: Molarity = \( \frac{\frac{116.886 \mathrm{g}}{58.44 \mathrm{g/mol}}}{1.00 \mathrm{L}} \approx 2.00 \mathrm{M} \) The calculated molarity is approximately 2.00 M, which indicates that the assistant has successfully prepared the desired 2.00 M solution of NaCl. Therefore, you should consider giving him a promotion.

Step by step solution

Calculate the Moles of NaCl Present in the Solution

We will calculate the moles of NaCl using the given mass and its molar mass. Molar mass of NaCl = 58.44 g/mol Given mass of NaCl = 116.886 g To calculate the moles of NaCl, divide the given mass by its molar mass: Moles of NaCl = \( \frac{116.886 \mathrm{g}}{58.44 \mathrm{g/mol}} \)

Calculate the Volume of the Solution in Liters

The volume is given as exactly 1.00 L, so we can use this value directly in our calculations.

Calculate the Molarity of the Solution

To calculate the molarity of the solution, divide the moles of NaCl by the volume of the solution in liters: Molarity = \( \frac{\text{moles of NaCl}}{\text{volume in liters}} \) Molarity = \( \frac{\frac{116.886 \mathrm{g}}{58.44 \mathrm{g/mol}}}{1.00 \mathrm{L}} \)

Compare the Calculated Molarity with 2.00 M

The next step is to compare the calculated molarity of the NaCl solution with 2.00 M. If the calculated molarity is equal to or very close to 2.00 M, the assistant has successfully prepared a 2.00 M solution, and you can consider a promotion. If the calculated molarity is significantly different from 2.00 M, the assistant failed to perform the task, and you may consider firing him.

Make an Informed Decision Based on the Calculation Results

After calculating the molarity of the solution, it is important to make an informed decision about the assistant's performance. Based on the result, decide whether to give a promotion or fire the assistant. The fundamental concept behind this exercise is to evaluate the accuracy of the solution preparation and the individual's knowledge of molarity and concentration.

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Your assistant tells you he measured out \(116.886\) \(\mathrm{g}\) of \(\mathrm{NaCl}\) and then added exactly \(1.00 \mathrm{~L}\) of water to it to prepare a \(2.00 \mathrm{M}\) solution of \(\mathrm{NaCl}\). Do you fire him or give him a promotion? Explain.

Short Answer

Step by step solution

Calculate the Moles of NaCl Present in the Solution

Calculate the Volume of the Solution in Liters

Calculate the Molarity of the Solution

Compare the Calculated Molarity with 2.00 M

Make an Informed Decision Based on the Calculation Results

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