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Laboratory Report 5

Alkalinity and Hardness

Prepared by:

Dr. Mahmut Ersan

University of North Dakota Civil Engineering Department

CE-431L- Hydraulics Laboratory

Summer 2024

Labs Completed: 5/31/2024

Date Submitted: 6/25/2024

Table of Contents

1 Introduction/Theory 1 2 Objectives 1 3 Experimental Design 1 4 Relevant Equations 1 5 Equipment and Materials 1 6 Procedure 1 7 Results 1 8 Discussion and Conclusions 1 9 References 1 10 Appendices 1 10.1 Sample Calculations 1 10.2 Additional Tables and Figures 1

List of Figures

List of Tables

83

Introduction/Theory

Hardness in water is caused by the presence of multivalent ions in water, with the most common being CA2+ and Mg2+, other contributors to hardness are Al3+ and Fe3+ in some source waters. (Mihelcic and Zimmerman 2010) Hardness is commonly reported as mg/L of CaCO3 (calcium carbonate). Alkalinity in water is an important factor due to its buffering capacity, that is the ability of the water to resist a change in PH when an acid or base is added. (Viessman et al. 2009) Alkalinity is also commonly reported as mg/L of CaCO3. Hardness is composed of both temporary hardness and permanent hardness. Temporary hardness is the amount of hardness in the water paired with carbonate or bicarbonate ions in the water. Permanent hardness is the amount of hardness paired with non-carbonate ions such as SO4, PO4, CL, and NO3 in the water. (Davis 2010) Hardness in water may interfere with soaps and detergents and causes scale formation in pipes. It is imperative that in any water treatment facility the alkalinity and hardness are known so that the proper determinations of chemical additions or treatment processes may be ascertained. In this lab the Hach digital titrator methods were used to determine the alkalinity, calcium hardness, and total hardness. From this information were able to report the hydroxide alkalinity, carbonate alkalinity, bicarbonate alkalinity, calcium hardness, and total hardness.

Objectives

The objective of this lab was to measure the alkalinity and hardness of three water specimens, de-ionized water, Grand Forks tap water and Red River water.

Experimental Design

Alkalinity is the degree of the capacity of water to neutralize acids from precipitation or wastewater. Alkalinity is critical since it impacts cleaning forms such as anaerobic assimilation. The free variable in this lab is the beginning alkalinity level within the tap and the red river water (the distilled water has almost no alkalinity due to its Ph of close to or at 7). The secondary factors in this lab would be the three marker powder pillows utilized one each for alkalinity, calcium hardness, and total hardness. The hardness experiment consists of testing tap water, water from the red river, and distilled water for calcium hardness and adding up the hardness to decide the sum of lime required to soften the water. The independent factors were the sums of hardness within the water that was tested. The secondary factors were the sums of lime required to soften the water.

Relevant Equations

To calculate the concentration:

Digits used × digit multiplier = mg/L as CaCO3

CO_2(aq) +H_2 O ↔ H_2 CO_3 (10.1.1) H_2 CO_3 ↔ H^+ + HCO_3^- (10.1.2)

H_2 CO_3^- ↔ H^+ + CO_3^(2-) (10.1.3) CaCO_3(s) ↔ Ca^(2+)+CO_3^(2-) (10.1.4) Mg(HCO_3 )_2+2Ca(OH)_2 → 2CaCO_3↓ + Mg(OH)_2↓ (10.1.5)

Equipment and Materials

Procedure

Results

Table X – Data Obtained for determining Alkalinity

DI Water (mL)

Tap Water (mL)

River Water (mL)

P-Alkalinity

T-Alkalinity

Multiplier

100

0

0

0

18

.1

75

25

0

0

1150

.1

75

0

25

0

448

.4

As expected, measured phenolphthalein (P) alkalinity, hydroxide alkalinity, and carbonate alkalinity were all 0 mg/L as CaCO3 for the de-ionized water specimen. Similarly, all other samples also measured 0 mg/L for P-alkalinity, hydroxide alkalinity, and carbonate alkalinity. Bicarbonate alkalinity was present in all samples. This was not expected in the DI water as it was assumed to contain no alkalinity. In the other samples this makes sense as the total alkalinity must be equal to the sum of the individual alkalinities.

Table X – Calculated Data for Determining Alkalinity

Adjusted P-Alkalinity

Adjusted T-Alkalinity

Hydroxide Alkalinity

Carbonate Alkalinity

Bicarbonate Alkalinity

DI

0

1.8

0

0

1.8

Tap

0

115

0

0

115

River

0

179.2

0

0

179.2

Table X – Data Obtained for Determining Hardness

DI Water (mL)

Tap Water (mL)

River Water (mL)

Calcium Hardness

Total Hardness

Multiplier for Calcium Hardness

Multiplier for Total Hardness

100

0

0

0

0

0

0

75

25

0

202

308

.4

.4

75

0

25

413

707

.4

.4

Table X – Calculated Values for Calcium, Total and Magnesium Hardness (CaCO3)

Calcium Adjusted

Total Adjusted

Magnesium Hardness

DI

0

0

0

Tap

80.8

123.2

42.4

River

165.2

282.8

117.6

The total hardness of the tap water was determined to be 123.2 mg/L as CaCO3, with 80.8 mg/L of that as calcium hardness and 42.4 mg/L of that as magnesium hardness. The total hardness of the river water was determined to be 282.8 mg/L as CaCO3, with 165.2 mg/L of that as calcium hardness and 117.6 mg/L of that as magnesium hardness.

Table X – Meq, Carbonate and Non-Carbonate Hardness for Tap Water

Tap Water

Meq/L

Mg/L (CaCO3)

Mg/Meq

Meq/L

Carbonate Hardness

Non-Carbonate Hardness

Calcium

80.8

50

1.616

1.616

-

Magnesium

42.4

50

.848

.684

.164

Bicarbonate

115

50

2.3

-

-

A diagram of a chemical formula Description automatically generated

Figure X - Meq/L Bar Graph for Carbonate and Non-Carbonate Hardness of Tap Water

Table X and Figure X show the distribution of carbonate and non-carbonate hardness in the tap water specimen. Based on the data obtained, the dosage of lime required to soften the water is 2.984 Meq/L or 149.2 mg/L as CaCO3 and the required soda ash dosage is equal to the non-carbonate hardness of .164 Meq/L or 8.692 mg/L of Na2CO3.

Table X – Meq, Carbonate and Non-Carbonate Hardness for River Water

River Water

Meq/L

Mg/L (CaCO3)

Mg/Meq

Meq/L

Carbonate Hardness

Non-Carbonate Hardness

Calcium

165.2

50

3.304

3.304

-

Magnesium

117.6

50

2.352

.28

2.072

Bicarbonate

179.2

50

3.584

-

-

A diagram of a chemical formula Description automatically generated

Figure X - Meq/L Bar Graph for Carbonate and Non-Carbonate Hardness for River Water

Table X and Figure X show the distribution of carbonate and non-carbonate hardness in the river water specimen. Based on the data obtained, the dosage of lime required to soften the water is 3.846 Meq/L or 193.2 mg/L as CaCO3 and the required soda ash dosage is equal to the non-carbonate hardness of 2.072 Meq/L or 109.82 mg/L of Na2CO3.

Discussion and Conclusions

The objective of this lab was to measure the alkalinity and hardness of three water specimens, de-ionized water, Grand Forks tap water and Red River water. continue

References

Davis, M. (2010). Water and Wastewater Engineering, McGraw Hill, New York

Mihelcic, J. Zimmerman, J. (2010). Environmental Engineering Fundamentals Sustainability Design, Wiley, New Jersey

Viessman, W. Hammer, M. Perez, E. Chadik, P. (2009). Water Supply and Pollution Control, 8th Ed., Pearson, New Jersey

Appendices

Sample Calculations

Additional Tables and Figures

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