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Grade 12th passInorganic Chemistry

Four samples of water are collected at Kunchanapalli (KB), Gundimeda (GM),
Vaddeswaram (VB) and the other at Green Fields (GF). 100 ml of each water sample
collected at KB, GM, VB and GF requires 28, 26, 20 and 18 ml of EDTA solutions on
titrations respectively. 100 ml of SHW (0.28 g of CaCO3 per liter) requires 22 ml of
EDTA solution on titration. Calculate and compare the degree of hardness and write the
chemical reactions involved in titrations.

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5 Years agoGrade 12th pass
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To determine the degree of hardness in the water samples collected from Kunchanapalli (KB), Gundimeda (GM), Vaddeswaram (VB), and Green Fields (GF), we can analyze the volume of EDTA solution required for titration. The amount of EDTA used gives us a direct indication of the hardness of the water, as EDTA is a chelating agent that binds with calcium and magnesium ions, which are primarily responsible for water hardness.

Understanding Water Hardness

Water hardness is typically measured in terms of the concentration of calcium carbonate (CaCO3) in the water. The degree of hardness can be expressed in mg/L of CaCO3. The more EDTA solution required to titrate a sample, the harder the water is, as it indicates a higher concentration of calcium and magnesium ions.

Calculating the Degree of Hardness

To calculate the degree of hardness for each water sample, we can use the following relationship:

  • 1 ml of 0.01 M EDTA solution reacts with 1 mg of CaCO3.
  • Thus, the hardness in mg/L of CaCO3 can be calculated using the formula:

Hardness (mg/L CaCO3) = Volume of EDTA (ml) × 1000

Now, let's apply this formula to each sample:

  • Kunchanapalli (KB): 28 ml of EDTA
  • Hardness = 28 ml × 1000 = 28000 mg/L

  • Gundimeda (GM): 26 ml of EDTA
  • Hardness = 26 ml × 1000 = 26000 mg/L

  • Vaddeswaram (VB): 20 ml of EDTA
  • Hardness = 20 ml × 1000 = 20000 mg/L

  • Green Fields (GF): 18 ml of EDTA
  • Hardness = 18 ml × 1000 = 18000 mg/L

Comparing the Hardness Levels

Now that we have calculated the hardness for each sample, we can compare them:

  • Kunchanapalli (KB): 28000 mg/L
  • Gundimeda (GM): 26000 mg/L
  • Vaddeswaram (VB): 20000 mg/L
  • Green Fields (GF): 18000 mg/L

From this comparison, it is evident that Kunchanapalli has the highest hardness level, followed by Gundimeda, Vaddeswaram, and Green Fields, which has the lowest hardness level.

Chemical Reactions Involved in Titration

The titration process involves a reaction between EDTA and the calcium (Ca²⁺) and magnesium (Mg²⁺) ions present in the water samples. The general reactions can be represented as follows:

  • For Calcium:
  • Ca²⁺ + EDTA4⁻ → CaEDTA²⁻

  • For Magnesium:
  • Mg²⁺ + EDTA4⁻ → MgEDTA²⁻

In these reactions, the EDTA ion binds with the calcium and magnesium ions, forming stable complexes that can be quantified through titration. The endpoint of the titration is typically indicated by a color change, which signifies that all the metal ions have reacted with the EDTA.

Conclusion

In summary, the degree of hardness in the water samples varies significantly, with Kunchanapalli being the hardest and Green Fields the softest. Understanding these differences is crucial for assessing water quality and its suitability for various uses, such as drinking, irrigation, and industrial applications.