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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 |
- |
- |
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 |
- |
- |
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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