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Question 10.1: DETERMINATION OF SODIUM ADSORPTION RATIO Determine the SAR f......

DETERMINATION OF SODIUM ADSORPTION RATIO
Determine the SAR for two different water supplies, A and B. Measured concentrations were

Supply A     Ca^{2+}=4.6  mg/L     Mg^{2+}=1.1  mg/L         Na^{+}=144  mg/L       TDS=255  mg/L

Supply B     Ca^{2+}=108  mg/L     Mg^{2+}=33  mg/L        Na^{+}=63  mg/L         TDS=1050  mg/L

Step-by-Step
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1. Determine the Ca^{2+}, Mg^{2+}, and N^{2+} concentrations in meq/L (see discussion of equivalent weight in Chapter 1).

2. Compute the SAR of the two waters.
a. For Supply A

SAR = \frac{[Na^{+}]}{\sqrt{\frac{[Ca^{2+}]+[Mg^{2+}]}{2} } } =\frac{11.1}{\sqrt{\frac{0.23+0.090}{2} } } =27.8

This is a very high SAR value, and the water would be generally unacceptable for irrigation. Note that the TDS value for water supply A is moderate (255 mg/L) and that Supply A water is generally excellent for domestic use.
b. For Supply B

SAR =\frac{2.74}{\sqrt{\frac{5.40+2.72}{2} } } =1.36

Water supply B has a low SAR value and a TDS value (1050 mg/L,
equivalent to about 1750 \mu S/cm, see Chapter 3, Section 3.12.3) that is beneficial for agriculture. It would be an excellent source of irrigation water. The TDS value is high for potable water and water supply B is an inferior source of domestic water compared with Supply A. Supply B will require more treatment to produce acceptable finished drinking water.

                    Concentration
Constituent Equivalent
Weight (g/eq or mg/meq)
Water Supply A Water Supply B
(mg/L) (mg/L) (mg/L) (mg/L)
Ca^{2+} 20.0 4.6 0.23 108 5.40
Mg^{2+} 12.15 1.1 0.090 33 2.72
Na^{+} 23.0 255 11.1 63 2.74

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