I am trying to determine the density for a 1.0 M stock solution of NaCL + Water

Question

I am trying to determine the density for a 1.0 M stock solution of NaCL + Water in 5 mL aliquots (max volume delivered is 20 mL - beaker weighed each time) I am then supposed to determine the densities of a .8 M NaCl + Water solution (diluted from the 1 M solution). I delivered 5 mL of the solution to a beaker, weighed the beaker, and took difference. There were 4 measurements done (total volume delivered is 20 mL)

Data: 1 M

Solution Actual mass of NaCL used: 5.8457 g

Concentration of Sol: 1.0003 mol/L

Beaker: 31.4700

5mL: 36.6105g Difference: 4.9105g

10mL: 41.7616g Difference: 5.1511g

15mL: 46.9230g Difference: 5.1614g

20 mL52.0645 Difference: 5.1415g .

0.8 M

Beaker: 31.4698

5mL: 36.5893 Difference: 5.1195g

10mL: 41.7117g Difference: 5.1224g

15mL: 46.8332g Difference: 5.1215g

20mL: 51.9441g Difference: 5.1109g

How do I determine what the density is for each aliquot. I'm sure it's simple and I'm just not seeing it but I'm quite stressed at the moment and cannot think straight. Please help
.

Explanation / Answer

I believe the calculations are easy. You delivered 5 mL of 1.0 M stock NaCl solution and took the weight.

We define density as density = mass of material/volume of material

1.0 M NaCl solution

Initial weight (g)

Final weight (g)

Weight delivered (g)

Volume delivered (mL)

Density = mass delivered/volume delivered (g/mL)

Average density
(g/mL)

31.4700

36.6105

5.1405

5.0

(5.1405/5.0) = 1.0281

1.029725

36.6105

41.7616

5.1511

5.0

1.03022

41.7616

46.9230

5.1614

5.0

1.03228

46.9230

52.0645

5.1415

5.0

1.0283

0.8 M NaCl solution

Initial weight (g)

Final weight (g)

Weight delivered (g)

Volume delivered (mL)

Density = mass delivered/volume delivered (g/mL)

Average density
(g/mL)

31.4698

36.5893

5.1195

5.0

1.0239

1.023715

36.5893

41.7117

5.1224

5.0

1.02448

41.7117

46.8332

5.1215

5.0

1.0243

46.8332

51.9441

5.1109

5.0

1.02218

Initial weight (g)

Final weight (g)

Weight delivered (g)

Volume delivered (mL)

Density = mass delivered/volume delivered (g/mL)

Average density
(g/mL)

31.4700

36.6105

5.1405

5.0

(5.1405/5.0) = 1.0281

1.029725

36.6105

41.7616

5.1511

5.0

1.03022

41.7616

46.9230

5.1614

5.0

1.03228

46.9230

52.0645

5.1415

5.0

1.0283

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