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Mass of beaker: 59 Mass of beaker and citric acid: 61 Mass of beaker and citric

ID: 889376 • Letter: M

Question

Mass of beaker: 59

Mass of beaker and citric acid: 61                

Mass of beaker and citric acid (after cooling): 61.06 or 61.1

Volume of NaOH: 15mL

Syringe Reading, mL

Citric acid added, mL

pH

30

2

11.20

28

3

10.81

27

4

10.21

26

5

10.

25

6

9.58

24

7

8.35

22

9

7.02

20

11

6.72

19

12

6.68

18

13

6.39

17

14

6.12

16

15

5.77

15

16

5.72

14

17

5.66

13

18

5.22

Syringe Reading, mL

Citric acid added, mL

pH

30

1

11.24

29

2

10.78

28

3

10.48

27

4

10.12

26

5

9.92

25

6

9.82

24

7

7.96

23

8

7.46

21

10

6.83

19

11

6.75

18

12

6.65

17

13

6.21

16

14

5.82

15

15

5.63

14

16

5.42

Mass of citric acid: 2g

Moles of citric acid: 0.0104

(MW = 192.0 g/mol)

Molarity of citric acid: 0.104M

(volume of solution = 100 mL)

Trial 1 equivalence point: 10+7=17/2= 8.5

Trial 2 equivalence point:10+7=17/2=8.5

Molarity (Trial 1):

Molarity (Trial 2):

Average Molarity:

I need help calculating the molarity of the citric acid per trial, please help and show work.

Syringe Reading, mL

Citric acid added, mL

pH

30

2

11.20

28

3

10.81

27

4

10.21

26

5

10.

25

6

9.58

24

7

8.35

22

9

7.02

20

11

6.72

19

12

6.68

18

13

6.39

17

14

6.12

16

15

5.77

15

16

5.72

14

17

5.66

13

18

5.22

Explanation / Answer

we can calculate the molarity of citric acid from pH of the solution.

From pH of the solution we can calculate the H+ ion concentration.

since citric acid is a tribasic acid, we can divide the  H+ ion concentration by 3 to get the molarity of citric acid after neutralization reaction with NaOH.

e.g: For 1st reading pH = 11.20

=> - log[H+] = 11.20

=> [H+] = 6.31x10-12 M

Hence citric acid concentration = [H+] / 3 = 2.10x10-12 M

After calculating the citric acid concentration for each reading we can take the average.

Note that here we have calculated the molarity of citric acid after the reaction.