Describe how to prepare 5.00 liters of a 5.00 % (w/w) NaCl solution, which has a density of 1.06 g/mL, from pure solid sodium chloride.
I have no idea how to find the starting measurements please help!
To prepare a 5.00% (w/w) NaCl solution, you need to determine the amount of sodium chloride (NaCl) needed and the volume of water required. Here's how you can find the measurements:
1. Understand the definition of a 5.00% (w/w) NaCl solution:
- A 5.00% (w/w) NaCl solution means that for every 100g of the final solution, 5.00g is NaCl.
- "w/w" stands for "weight/weight", indicating the percentage is calculated based on the weights of the solute (NaCl) and the final solution.
2. Determine the mass of NaCl needed:
- Since you want to prepare 5.00 liters of a 5.00% NaCl solution, you can start by calculating the total mass of NaCl required.
- The percentage concentration is 5.00%, so for every 100g of the solution, 5.00g should be NaCl.
- Therefore, for 5.00 liters (5000g) of the solution, the mass of NaCl needed can be calculated using the following proportion:
(5.00g NaCl / 100g solution) = (x grams NaCl / 5000g solution)
- Cross-multiplying gives you: 100x = (5.00)(5000)
- Solving for x, the mass of NaCl needed is: x = (5.00)(5000) / 100
3. Calculate the mass of NaCl needed:
- Use the formula obtained in the previous step to calculate the mass of NaCl required.
- x = (5.00)(5000) / 100
- Solve for x to get the mass of NaCl in grams.
4. Determine the volume of water needed:
- Since the density of the solution is given as 1.06 g/mL, you can calculate the volume of water needed.
- The total mass of the solution is 5000g (5.00 liters × 1.06 g/mL).
- Subtract the mass of NaCl from the total mass to find the mass of water needed.
5. Prepare the solution:
- Weigh out the calculated mass of NaCl and transfer it to a suitable container.
- Add the required volume of water determined in step 4.
- Stir or mix the solution until the NaCl is completely dissolved.
By following these steps, you can prepare 5.00 liters of a 5.00% (w/w) NaCl solution from solid sodium chloride.